Final Product: Portfolio Martin Roberg

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Velocity Project:

Velocity Project 2019

Due: Friday, March 8, 2019

1. Define the following terms and include pictures if possible:
***MAKE A QUIZLET
https://quizlet.com/_66uyqf

Motion Speed Position
An object's change in Distance an object travels The location of an object
position relative to a per unit of time
reference point.

Distance Acceleration Terminal Velocity
How far an object moves Rate of change of velocity; The constant velocity of a
can be calculated by falling object when the
dividing the change in the force of air resistance is
velocity by the time it takes equal in magnitude and
for the change to occur opposite in direction to the
force of gravity

Time Initial Velocity Displacement
Second (s) The starting velocity Distance and direction of
an object's change in
position from the starting

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point

Velocity Final Velocity Key Metric units
Indicators for evaluating
The speed and direction of Velocity of an object at the factors that are crucial to
the success of a business
a moving object end of a time interval

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3.Reading:
A. Science Textbook:
1. Read Chapter 2: Motion pg. 38-58
Directions: Make 12-15 teacher-like questions and have a partner answer your
questions. (Answers to questions must be found from the reading.)

1. What is the definition of distance
How far an object has moved

2. What is the displacement of the runner in the picture on figure 2 on page
39
20 meters

3. What is the equation to calculate speed
S=D/T

4. What does figure 3 represent
Figure 3 represents the different speeds of a bike as it gains speed, goes
up a hill, goes down a hill, stops for a red line, and then it’s final constant

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speed
5. What is the approximate speed of a car traveling at highway speed

according to table 1
100 km/h
6. What is the difference between calculating average speed and calculating
speed
When calculating average speed you have to add all of the listed
distances and all of the listed times and then use the normal speed
formula
7. What is the definition of Instantaneous speed
The speed at a given time
8. What is the formula for calculating the change in velocity
Change in velocity = final velocity- initial velocity
=Vf-Vi
9. What is the formula for acceleration
A=Vf-Vi/T
10.What is net force
Net force is when two or more forces act on an object at the same time
11. What is a balanced force
Forces on an object that are equal in size and opposite in direction
12.What is an unbalanced force
Two or more objects that are pushing something with different forces
13.What is the definition of inertia
The tendency of an object to resist any change in its motion,
14.What is the correlation between an object's mass and its inertia
The greater the mass of the object, the greater its inertia is

B. Read Article: Crashing Jumping Falling
1. Directions: Make 10-12 Teacher-Like questions and have a partner answer your

questions. (Answers to questions must be found from the reading.)
1. What happens to the two different speeds upon collision

The two speeds are combined in a force that is like hitting a brick wall at
the combined speed
2. What is the correlation between speed and energy
The greater the speed of the car, the more energy will go into whatever it
hits
3. Do objects have to be touching in order to exert force to one another

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No
4. What are two examples of ways that frictional force can be formed

Trying to park and sliding against another car and rubbing your hands
together
5. What can be created from frictional force
Heat
6. How does the potential energy in a wrecking ball increase
When it is lifted off the ground, the amount of potential energy stored in a
wrecking ball rises, meaning the higher the ball is raised the more the
damage it would do

7. What happens to potential energy when skydiving
When a person jumps, the potential energy is turned into kinetic energy

8. What is the purpose of a parachute
A parachute slows a person's rate when they are falling, which makes the
total kinetic energy decrease

9. What is the type of energy in bungee jumping called
Tensional Energy

10.How does energy being transferred connect to baseball
The greater the speed of the collision, with a heavier bat or a lighter ball
makes the baseball travel further. However, depending on where you hit it
the amount of energy transferred will vary.

4. Pick 2 cities (minimum 500 miles apart) in the United States or world and
construct a data table and graph showing the number of hours that it would take
to travel between the 2 cities with the following modes of transportation:
Decimal to Time Calculator:
https://www.calculatorsoup.com/calculators/time/decimal-to-time-calculator.php
From: Las Vegas, Nevada to Madrid, Spain
Distance Between: 5587 Miles

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A. Fastest Runner: 28 MPH 163/310
B. Model T Ford: 45 MPH
C. Hindenburg: 84 MPH
D. Tesla top speed: 250 MPH
E. Fastest train: 375 MPH
F. F35 Fighter Jet: 1200 MPH
G. Snail: 0.029 MPH
H. Sloth: 0.15 MPH
I. Indycar: 256 MPH
J. Formula 1: 231.5
K. NASCAR: 216 MPH
L. Vizsla: 40 MPH
M. Weimaraner: 35 MPH
N. Pug: 5 MPH
O. Titanic: 26 MPH
*Provide a map showing your cities

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*Show Detailed Math Steps 164/310

Time=Distance/Velocity
Distance=Velocity(Time)
Velocity=Distance/Time

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Fastest Runner:
Time=Distance/Velocity
Time=5587 Miles/28 Miles Per Hour
Time= 199.535714286
It would Take 199 Hours, 32 Minutes, and 9 Seconds or 8 days and 7 hours for the
fastest runner to run from Las Vegas to Madrid if always running at record speed and
being able to run on water.

Model T Ford:
Time=Distance/Velocity
Time=5587 Miles/45 MPH
Time=124.155555556
It would take 124 Hours, 9 Minutes, and 20 Seconds or 5 Days and 4 Hours to travel
from Las Vegas to Madrid in a Model T Ford.

The Hindenburg:
Time=Distance/Velocity
Time=5587 Miles/84 MPH
Time=66.5119047619
It would’ve taken 66 Hours, 30 Minutes, and 43 Seconds or 2 Days and 18 Hours for
the Hindenburg to travel from Las Vegas to Madrid.

Tesla:
Time=Distance/Velocity
Time=5587 Miles/250 MPH

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Time=22.348
It would take 22 Hours 20 Minutes and 53 Seconds for a Tesla to travel from Las Vegas
to Madrid.

Fastest Train (Maglev):
Time=Distance/Velocity
Time=5587 Miles/375 MPH
Time=14.8986666667
It would take the Maglev train 14 Hours, 53 Minutes, and 55 Seconds to get from Las
Vegas to Madrid if there were Maglev trains in the United States or Spain

F35 Fighter Jet:
Time=Distance/Velocity
Time=5587 Miles/1200 MPH
It would take the F 35 Fighter Jet 4 Hours, 39 Minutes, and 21 Seconds to get fly from
Las Vegas to Madrid.

Snail:
Time=Distance/Velocity
Time=5587 Miles/0.029 Miles Per Hour
Time=192655.172414
It would take 192,655 Hours, 10 Minutes, and 21 Seconds, 8027 Days and 43 Minutes,
or 21 Years and 362 days for a Snail to travel from Las Vegas to Madrid.

Sloth: 166/310
Time=Distance/Velocity
Time=5587 Miles/0.15 Miles Per Hour

https://docs.google.com/document/d/1HkEv9wIfqdA1ukjpObgog76L-WDG56qHqhEnq8YyUFY/edit

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Time=37246.6666667
It would take 37,246 Hours and 40 Minutes, 1551 Days and 22 Hours, or 4 Years and
91 Days for a Sloth to travel from Las Vegas to Madrid

Indycar:
Time=Distance/Velocity
Time=5587 Miles/256 MPH
Time=21.82421875
It would take 21 Hours, 49 Minutes, and 27 Seconds for an Indycar to travel from Las
Vegas to Madrid

Formula 1:
Time=Distance/Velocity
Time=5587 Miles/231.5 MPH
Time=24.1339092873
It would take 24 Hours, 8 Minutes and 2 seconds, or 1 Day and 8 Minutes for a
Formula One car to travel from Las Vegas to Madrid.

NASCAR:
Time=Distance/Velocity
Time=5587 Miles/216 MPH
Time=25.8657407407
It would take 25 Hours, 51 Minutes and 57 Seconds, or 1 Day, 1 Hour and 51 Minutes
for a NASCAR Stock Car to travel from Las Vegas to Madrid.

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Vizsla:
Time=Distance/Velocity
Time=5587 Miles/40 MPH
Time=139.675
It would take 139 Hours, 40 Minutes and 30 seconds, or 5 Days and 19 Hours for a
Vizsla to go from Las Vegas to Madrid.

Weimaraner:
Time=Distance/Velocity
Time=5587 Miles/35 MPH
Time=159.628571429
It would take 159 Hours 37 Minutes and 43 seconds or 6 Days and 19 hours for a
Weimaraner to go from Las Vegas to Madrid.

Pug:
Time=Distance/Velocity
Time=5587 Miles/5 MPH
Time=1117.4
It would take 1117 hours and 24 minutes or 46 Days and 13 hours for a Pug to go from
Las Vegas to Madrid.

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Titanic:
Time=Distance/Velocity
Time=5587 Miles/26 MPH
Time=214.884615385
It would take 214 hours, 53 minutes, and 5 seconds or 8 days and 22 hours for the
Titanic to travel from Las Vegas to Madrid if all of the land between was now ocean.

5. Questions about your City:
What would like to see in this city when you arrive?
If I was to go to Madrid, I would like to see the different tourist attractions, and
the different culture.
What tourist attraction (s) would you like to see?

Mercado de San Miguel

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Popular shopping destination for local food and items

Puerta Del Sol

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Crossroads where people gather on New Year’s Eve

Plaza Mayor

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Area where bullfights used to be fought in the 1600’s then became place where
many were slaughtered (not exactly sure why this became a tourist attraction)

What restaurant would you like to visit in this city? Provide pictures
Sobrino de Botín

● Most famous restaurant in Madrid
● Dates back to 1725
● Average rating of 4 stars

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What is the basic history of this city? Government history?
The land of Madrid was inhabited by prehistoric humans. It was first
established close to the beginning of the 10th century CE by emir Muhammad. It
was originally known as Mayrit. Madrid was home to multiple groups of people
who were later expelled from Spain in 1494 due to an act of genocide. These
groups of people included Jews. In 1808, Spain fought against Napoleon in a
revolution, later inspiring many of their famous tourist attractions. Madrid is now
considered one of Europe’s most progressive countries, a stark contrast to its
early history.
Famous people from your city?
Actors and Actresses (According to iMDb)

● Javier Barden: Skyfall

● Penélope Cruz: Vicky Cristina Barcelona
● Antonio Bandares: The Mask of Zorro

● Sara Montiel: La violetera

● Jordi Mollá: Riddick
6. Determine and graph an 38% increase in Velocity for each vehicle - Show how
the Times would be affected by the increase in speed. Show a double bar graph
with the 2 different times for each vehicle.
*Include pictures and brief description of each mode of transportation

Fastest Runner:

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Original Speed: 28 MPH
28*1.38
New Speed: 38.64 MPH- 39 MPH
Time= Distance/Velocity
Time= 5587 Miles/ 39 MPH
Time= 143.256410256
The new total amount of time it would take for the fastest runner to run from Las
Vegas to Madrid, if the record speed increased by 38 percent, would be 143 hours
15 minutes and 23 seconds, or 5 Days and 23 Hours. This would mean that the
time it would take would shorten by 56 hours or by 2 days and 8 hours.

Model T Ford:
Original Speed: 45 MPH
45*1.38=62.1 MPH- 62 MPH
Time=Distance/Velocity
Time=5587 Miles/62 MPH
Time= 90.1129032258
The new total amount of time that it would take a Model T Ford to go from Las
Vegas to Madrid is 90 hours, 6 minutes, and 46 seconds or 3 days and 18 hours.
The 38% increase would shorten the amount of time it would take to get from Las
Vegas to Madrid by 34 hours, or by 1 day and 10 hours.

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The Hindenburg
Original Speed=84 MPH
84*1.38
New Speed=115.92 MPH- 116 MPH
Time=Distance/Velocity
Time= 5587 Miles/116 MPH
Time=48.1637931034
If the top speed of the Hindenburg was increased by 38% the amount of time that
it would’ve taken to fly from Las Vegas to Madrid would’ve been 48 hours, 9
minutes and 50 seconds or 2 days and 9 minutes. This would’ve shortened the
amount of time by 18 hours.

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Tesla
Old Speed=250 MPH
250*1.38=345 MPH
Time=Distance/Velocity
Time=5587 Miles/350 MPH
Time=16.1942028986

If the top speed of the Tesla was increased by 38% it would only take it 16 hours
11 minutes and 39 seconds for it to travel from Las Vegas to Madrid. This would
shorten the time by 6 hours.

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Maglev
Old Speed: 375 MPH
375*1.38=517.5 MPH- 517 MPH
Time=Distance/Velocity
Time=5587 Miles/517 MPH
Time=10.8065764023

The amount of time it would take the Maglev train to travel from Las Vegas to
Madrid with a 38% increase of speed would be 10 hours, 48 Minutes, and 24
Seconds. This would decrease the amount of time by 4 hours.

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F35 Fighter Jet
Old Speed=1200 MPH
1200*1.38=1656 MPH
Time=Distance/Velocity
Time=5587 Miles/1656 MPH
Time=3.37379227053

The amount of time that it would take an F 35 Fighter Jet to fly from Las Vegas to
Madrid, with a 38% increase on its top speed would be 3 hours 22 minutes and
26 seconds. This would lower the time by a little over an hour.

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Snail
Old Speed=0.029 MPH
0.029*1.38=0.04002
Time=Distance/Velocity
Time= 5587 Miles/0.04 MPH
Time=139675

If a Snail’s record speed increased by 38%, it would take it 139,675 Hours, 5819
Days and 19 Hours, or 15 years and 344 days to travel from Las Vegas to Madrid.
This would lower the amount of time by over 6 years.

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Sloth
Old Speed:0.15 MPH
0.15*1.38=0.207 MPH
Time=Distance/Velocity
Time= 5587 Miles/0.207 MPH
Time=26990.3381643
If the speed of a Sloth increased by 38%, it would take it 26990 Hours, 20 Minutes
and 17 Seconds, 1124 Days and 14 Hours, or 3 years and 29 Days for a Sloth to
travel from Las Vegas to Madrid. This would shorten the amount of time by a
little over a year.

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Indycar
Old Speed: 256 MPH
256*1.38= 353.28 MPH
Time=Distance/Velocity
Time=5587 Miles/353.28 MPH
Time=15.8146512681
If the top speed of an Indycar was increased by 38% it would take 15 hours 48
minutes and 53 seconds, shortening the trip from Las Vegas to Madrid by 5
hours and 59 minutes.

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Formula 1:
Original Speed: 231.5 MPH
231.5*1.38=319.47 MPH
Time=Distance/Velocity
Time=5587 Miles/319.47 MPH
Time=17.4883400632
With an increase of 38% to the top speed of an Formula 1 car the time that it
would take to travel from Las Vegas to Madrid would now be 17 hours 39 minutes
and 18 seconds. This would shorten the trip by a little less than 7 hours.

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NASCAR:
Original Speed: 216 MPH
216*1.38=298 MPH
Time=Distance/Velocity
Time=5587 Miles/298 MPH
Time=18.7483221477
It would take 18 hours 44 minutes and 54 seconds for a NASCAR Stock Car to
travel from Las Vegas to Madrid, if the top speed was increased by 38%. This
would shorten the trip by around 7 hours.

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Vizsla
Original Speed: 40 MPH
40*1.38=55.2 MPH
Time=Distance/Velocity
Time=5587 Miles/55.2 MPH
Time=101.213768116
It would take 101 hours 12 minutes and 50 seconds, or 3 days and 5 hours for a
Vizsla to go from Las Vegas to Madrid, if the record speed of the Vizsla was
increased by 38%. This would shorten the try by 38 hours, or 1 day and 14 hours.

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Weimaraner
Original Speed: 35 MPH
35*1.38=48.3 MPH
Time=Distance/Velocity
Time=5587 Miles/48.3 MPH
Time=115.672877847
It would take 115 Hours 40 minutes and 22 seconds, or 3 days and 9 hours for a
Weimaraner to travel from Las Vegas to Madrid if the top speed of a Weimaraner
was increased by 38%. This would shorten the travel by 3 days and 10 hours.

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Pug:
Original Speed: 5 MPH
5*1.38=6.39 MPH
Time=Distance/Velocity
Time=5587/6.39 MPH
Time=809.710144928
It would take 809 Hours 42 Minutes and 37 Seconds, or 33 days and 19 hours for
a Pug to travel from Las Vegas to Madrid if the record speed of a pug was
increased by 38%. This would shorten the time by around `13 days.

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Titanic:
Original Speed: 26 MPH
26*1.38=35.88 MPH
Time=Distance/Velocity
Time=5587 Miles/35.88 MPH
Time=155.713489409
If the top speed of the Titanic was increased by 38%, the amount of time that it
would take for the Titanic to go from Las Vegas to Madrid would be 155 hours 42
minutes and 49 seconds or 6 days and 11 hours. This would shorten the time by
around 2 days.

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Key: 188/310
O= Original Speed
N= New Speed

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7. Use a math calculation to show how long it would take the F 35 Fighter Jet to
get to

A. Sun
Distance to the sun=92.96 Million Miles
92.96 million miles=92.96*106
Time=Distance/Velocity
Time=92.96*106 Miles/1200 MPH
Time=77466.6666667
It would take 3227 days and 18 hours for an F 35 Fighter Jet to travel to the
sun

B. Saturn
Distance to Saturn=890.8 Million miles
890.8 Million miles=890.8*106 Miles
Time=Distance/Velocity
Time=890.8*106/1200 MPH
Time=742333.333333 Hours
Time=30,930 Days and 13 Hours

C. Neptune 189/310
Distance to Neptune=2.7 Billion Miles
2.7 Billion Miles= 2.7*109

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Time=Distance/Velocity
Time=2.7*109/1200 MPH
Time=2250000
It would take exactly 93,750 days for an F 35 Fighter Jet to travel to
Neptune

D. Nearest star to our solar system

The nearest star to earth is Alpha Centauri
Distance to Alpha Centauri=4.367 light years
1 lightyear=5878600000000 miles
5878600000000=5.8768*1012
Time=Distance/Velocity
Time=5.8768*1012/1200 MPH
Time=4897333333.33
It would take 204055555 days for an F 35 Fighter Jet to travel from Earth to the
nearest star

(Use scientific notation)

8. Velocity Story

(#8 on Velocity Project)

Name: Date:

Directions: Work in a group to tell a story of a classmate in motion. You must include 3 turns
(change in direction) and 3 different velocities. Your story must also have an amount of time

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where the classmate does not move. What did the person do when they stopped? Where were
they going?

Data Table: Distance (m) Time (sec.) Velocity (m/s)

Example: Velocity = Distance/Time V=D/T
V = 12 m/3 sec V=9/13
V = 4 m/sec. V=0.69 Meters
per second
1 tile=.3 meter
V=0
Description
V=D/T
Crabwalk 30 steps 13 seconds V=50/23
9 meters V=0.65 Meters
per second
Stop 0 Meters 30 seconds
Shuffle 23 seconds V=0
50 steps
15 Meters V=D/T
12.6/4
Stop 0 Meters 10 Seconds 3.15 Meters
Run 4 seconds per second
42 steps
12.6 Meters V=D/T
V=2.4/2.5
Skip 8 steps 2.5 seconds 0.96 Meters
2.4 Meters Per Second

Graph: (X-axis is Time; y axis is Distance)
(Hint: You have to constantly add the distance and time for the spreadsheet to make the
graph show the motion.)

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Average Velocity
V=D/T
V=39/82.5

V=0.47272727272
The average velocity of the person in the story was about 0.5 Meters per second
(around 1.5 tiles per second).

Story:
There are only 90 seconds until first period and you still need to get to Spanish, but your
friend has your homework because you left it at their house the night before. However,
you’re carrying so much that you’re about to drop everything so rather than walking like
normal, you have to crabwalk instead, to make sure nothing falls. You get to their locker
and ask them for the assignment and start to have a quick discussion while they grab it.
Once you grab it you rush to your locker and feeling that crab walking was too slow as you
were only going 0.69 meters per second, you try shuffling instead although this ended up
being slower as you only went 0.65 meters per second. Because you left your locker
unlocked the day before, you quickly open it and chuck everything that you don’t need into
your locker before slamming it shut. Seeing that there are less than ten seconds until class
begins you sprint to the door trying to make it on time. Upon seeing that you have made it
on time, you skip your way to your desk, not noticing that you accidentally threw your
homework into your locker, making you almost late for nothing.

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#9. Word Problems

1. A bicyclist travels 60.0 kilometers in 3.5 hours. What is the cyclist’s average speed?

Velocity=Distance/Time
Velocity=60 km/3.5 hours
Velocity=17.1428571429

The bicyclist travels at an average speed of about 17.1 miles per hours.

2. What is the average speed of a car that traveled 300.0 miles in 5.5 hours
Velocity=Distance/TIme
Velocity=300 miles/5.5 Miles Per Hour
Velocity=54.5454545455

The average speed of the car is about 54.54 miles per hour.

3. How much time would it take for the sound of thunder to travel 1,500 meters if sound
travels at a speed of 300 m/s?

Time=Distance/Velocity
Time=1500 meters/300 meters per second
Time= 5 seconds

It would take 5 seconds for the sound of thunder to travel 1500 meters at a speed of 300
meters per second.

4. How much time would it take for an airplane to reach its destination if it traveled at an
average speed of 790 kilometers/hour for a distance of 4,700 kilometers. What is the
airplane's speed in miles/hour?

1 Kilometer= 0.621371 miles
1 Mile=1.60934 Kilometers
Time=Distance/Velocity
Time=4,700 kilometers/790 kilometers/hour
Time=5.94936708861 kilometers

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The amount of time that it would take for the airplane to reach its destination when the
destination is 4,700 kilometers away and the average speed is 790 kilometers per hour, is
about 6 hours.

790(0.621371)= 490.88309 Miles
The plane is going at an average speed of 490.88309 miles per hour

5. How far can a person run in 15 minutes if he or she runs at an average speed of 16 km/hr

Distance= Time*Velocity
16/60=0.26666666666
If a person could run at an average speed of 16 km per hour they are running at a speed
of 0.26666666666 kilometers per minute

Distance=Time*Velocity
Distance=0.26666666666 km per minute*15 minutes=4 kilometers
If a person was running at an average pace of 16 km per hour for 15 minutes, they
would’ve run exactly 4 kilometers.

6. In problem 5, what is the runner’s distance traveled in miles?
1 Mile= 1.609 kilometers
4 kilometers *1.609 equal distance of kilometers and miles=6.436
The amount of distance that the runner traveled is equal to 6.436 miles.

7. A snail can move approximately 0.30 meters per minute. How many meters can the snail
cover in 15 minutes?

Distance= Velocity*Time
Distance=4.5 meters

In the span of 15 minutes, a snail can travel 4.5 meters

8. You know that there are 1,609 meters in a mile. The number of feet in a mile is 5,280. Use
these equalities to answer the following problems:
a. How many centimeters equals one inch
1,609 meters= 5280 feet
1 foot=12 inch
1 meter= 100 centimeters
100(1609)=5280(12)

There are 160900 centimeters in a mile and 63360 inches in a mile. This means
that an inch is greater than a centimeter

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160900/63360=2.539- 2.54
One centimeter is equal to 2.54 inches.
b. What is the speed of the snail in problem 7 in inches per minute
0.30(100)=30
30 centimeters *2.54 equal distance of centimeters and an inch=76.2 inches

The snail was traveling at a pace of 76.2 inches per minute.

9. Calculate the average speed (in km/h) of a car stuck in traffic that drives 12 kilometers in 2
hours.
Velocity=Distance/Time
Velocity=12 kilometers/2 hours
Velocity=6 kilometers per hour

The car that was stuck in traffic moved at an average rate of speed of 6 kilometers per
hour

Unit 1: Uniform Motion Name_______________________________
Worksheet 8 Date__________________Period________

/Speed and Velocity Problems

1. What is the average speed of a cheetah that sprints 100 m in 4 s? How about if it sprints

50 m in 2 s?

V = D/T V=D/T

V = 100m/4sec. V=50 m/2sec.

V = 25m/s TO=25m/s

2. If a car moves with an average speed of 60 km/hr for an hour, it will travel a distance of
60 km. How far will it travel if it continues this average rate for 4 hrs?

D=VT

D=60(4)

D=240 Kilometers

The car would’ve traveled 240 Kilometers if it kept the constant rate of 60

Kilometers per hour

3. A runner makes one lap around a 200m track in a time of 25.0 s. What was the runner's
average speed? Answer: 8.0 m/s

V=D/T

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V=200m/25sec.

V=8m/s

If a runner was to make a lap around a 200m track with a time of 25
seconds, their average time velocity would be 8 meters per second

4. Light and radio waves travel through a vacuum in a straight line at a speed of very
nearly 3.00 × 108 m/s. How far is light year (the distance light travels in a year)?
Answer: 9.50 × 1015 m.

5. A motorist travels 406 km during a 7.0 hr period. What was the average speed in km/hr
and m/s? Answers: 58 km/hr, 16 m/s.

6. A bullet is shot from a rifle with a speed of 720 m/s. What time is required for the
bullet to strike a target 3240 m away? Answer: 4.5 s.

T=D/V
T=3240/720
T=4.5

The amount of time required for a bullet to strike a target at 3240 meters

away, with the bullet traveling at a average speed of 720 meters per second, would

be 4.5 seconds.

7. Light from the sun reaches the earth in 8.3 minutes. The speed of light is 3.0 × 108 m/s.

In kilometers, how far is the earth from the sun? Answer: 1.5 × 108 km.

8. *An auto travels at a rate of 25 km/hr for 4 minutes, then at 50 km/hr for 8 minutes, and
finally at 20 km/hr for 2 minutes. Find the total distance covered in km and the average
speed for the complete trip in m/s. Answers: 9 km, 10.7 m/s.

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9. *If you traveled one mile at a speed of 100 miles per hour and another mile at a speed
of 1 mile per hour, your average speed would not be (100 mph + 1 mph)/2 or 50.5 mph.
What would be your average speed? (Hint: What is the total distance and total time?)
Answer: 1.98 mph.

10. *What is your average speed in each of these cases?
a. You run 100m at a speed of 5.0 m/s and then you walk 100 m at a speed of 1.0
m/s.
b. You run for 100 s at a speed of 5.0 m/s and then you walk for 100 s at a speed of
1.0 m/s. Answers: 1.7 m/s, 3.0 m/s.

11. *A race car driver must average 200 km/hr for four laps to qualify for a race. Because
of engine trouble, the car averages only 170 km/hr over the first two laps. What
average speed must be maintained for the last two laps?

12. *A car traveling 90 km/hr is 100 m behind a truck traveling 50 km/hr. How long will it
take the car to reach the truck?

13. The peregrine falcon is the world's fastest known bird and has been clocked diving
downward toward its prey at constant vertical velocity of 97.2 m/s. If the falcon dives
straight down from a height of 100. m, how much time does this give a rabbit below to
consider his next move as the falcon begins his descent?
T=DV
T=100m/97.2meters per second=1.02 seconds
The rabbit has 1.02 seconds to consider it’s next move

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More Speed and Velocity Problems

14. Hans stands at the rim of the Grand Canyon and yodels down to the bottom. He hears
his yodel back from the canyon floor 5.20 s later. Assume that the speed of sound in air
is 340.0 m/s. How deep is the canyon?

T*V=D
5.2/2=2.6
2.6*340=884
The canyon is 884 meters deep

15. The horse racing record for a 1.50 mi. track is shared by two horses: Fiddle Isle, who
ran the race in 143 s on March 21, 1970, and John Henry, who ran the same distance in
an equal time on March 16, 1980. What were the horses' average speeds in:
a. mi/s?
b. mi/hr?

16. For a long time it was the dream of many runners to break the "4-minute mile." Now
quite a few runners have achieved what once seemed an impossible goal. On July 2,
1988, Steve Cram of Great Britain ran a mile in 3.81 min. During this amazing run,
what was Steve Cram's average speed in:
a. mi/min?

b. mi/hr?

17. It is now 10:29 a.m., but when the bell rings at 10:30 a.m. Suzette will be late for
French class for the third time this week. She must get from one side of the school to
the other by hurrying down three different hallways. She runs down the first hallway, a
distance of 35.0 m, at a speed of 3.50 m/s. The second hallway is filled with students,
and she covers its 48.0 m length at an average speed of 1.20 m/s. The final hallway is
empty, and Suzette sprints its 60.0 m length at a speed of 5.00 m/s.

a. Does Suzette make it to class on time or does she get detention for being late
again?

T=D/V
T=35 meters /3.50 meters per second
T=10

The first hallway would take Suzette 10 seconds to run down, leaving
her with 50 more seconds

T=48 meters/ 1.2 meters per second
T=40

The second hallway would take Suzette 40 seconds to run down,
leaving her with 10 more seconds to run down the final hallway

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T= 60 meters/5 meters per second
T=12 seconds

The final hallway would take Suzette 12 seconds to run down, which
would mean that she was two seconds late to class giving her
detention.

b. Draw a distance vs. time graph of the situation. (Assume constant speeds for
each hallway.)

18. During an Apollo moon landing, reflecting panels were placed on the moon. This
allowed earth-based astronomers to shoot laser beams at the moon's surface to
determine its distance. The reflected laser beam was observed 2.52 s after the laser
pulse was sent. The speed of light is 3.0 × 108 m/s. What was the distance between the
astronomers and the moon?
D=TV
D=½ *2.52 sec* (3.0*10.8) m/s
D= 378,000,000= 3.78*108

19. For many years, the posted highway speed limit was 88.5 km/hr (55 mi/hr) but in recent
years some rural stretches of highway have increased their speed limit to 104.6 km/hr
(65 mi/hr). In Maine, the distance from Portland to Bangor is 215 km. How much time
can be saved in making this trip at the new speed limit?

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