Questions 1-4 are based on the Velocity-Time graph below. The different colors represent different

intervals.

1. When is the greatest positive acceleration? What is this value?

2. When is the greatest negative acceleration? What is this value?

3. When is the acceleration considered to be 0?

4. What is the total displacement of the object?

Velocity vs. Time

Time

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Time (s)

Vel

oci

ty (

m/s

)

5

10

-5

0

-10

5 10 15 20 25 30

5. A freight carrier that has a completely full shipment on it gives an acceleration that is a

quarter of that when the freight carrier is empty. What is the ratio of the mass of the full ship

to the mass of the empty ship? Explain.

6. Josh rolled a bowling ball down a lane in 2.8 s. The ball traveled at a constant acceleration of

1.4 m/s/s down the lane and was traveling at a speed of 7.6 m/s by the time it reached the pins

at the end of the lane. How fast was the ball going when it left Josh’s hand?

7. A constant force acting upon an object with a mass of 3kg produces an acceleration of about

50 m/s/s. The acceleration of another object produced by the same force is 17 m/s/s. What is

the mass of this object? Use Newton’s Second Law to explain.

8. An airplane is travelling at a constant velocity of 274.5 m/s due west as it suddenly enters a

jet stream travelling north at a velocity of about 89 m/s.

a. What is the resulting velocity vector of the plane? Draw it in the space below using a scale

of 50 m/s= 1cm.

b. If the jet stream is 241402 meters wide, then how long would it take for the plane to pass

through the stream?

c. How far up the jet stream would the plane have to travel before making it to the other side?

9. A block of wood is being pulled by two loops with a force of 10N at angles of 75°.

Determine what the acceleration of a 3kg object would be. Use a scale of 1cm=2N.

10. A toy is tied to the end of a jump rope and some people decide to spin her around. The

length of the jump rope is about 3.1 meters long, the period for one revolution is 4.7 sec, and

the rope exerts a force of 10 N.

a. What is the centripetal acceleration of the toy at the end of the rope?

b. What is the velocity of the toy?

c. What is the mass of the toy?

Use the diagram below to answer Questions 13-14. A 4.9 kg puck travels in a 255° arc in .33 sec

intervals on a .65 meter rope.

11. Find the time for one complete revolution.

12. Find the centripetal acceleration and the centripetal force.

15. Using for the two vectors, solve A-B

Use the explanation to answer Questions 16-17. A 10 kg object slides in a straight line across a

frictionless surface at a constant speed of 3 m/s.

16. If a resistive net force of 2 N acts upon the object, how much time is required for the object

to come to a complete stop?

17. How far will the object travel until it comes to a complete stop?

18. You are exploring an uninhabited planet located deep in space. You discover a cluster of

what seems to be precious gems at the edge of a cliff and decide to mine them. You set up

your equipment to help with the process, but then you accidentally kick a hammer off the

edge. You go down to retrieve it and discover that it landed 23 meters away from the cliff

from of a height of 70 meters; you also determine the horizontal velocity to be 6.4 m/s. If

this is the case, determine what the gravitational force of the planet must be.

A

B

19. Using the gravitational force found in Question 18, determine the period of a pendulum on

the planet if the period on Earth is 4.7 seconds.

Physics Review 2014

Note: These numbers, answers, graphs, and situations are most likely impossible in the real

world, so just suspend your disbelief. I made them to either be humorous, challenging, or both.

1. Kumar was walking to his house from 7-11 after a long day at the store because car is too

expensive. Leon, a professional stalker, recorded his position and time from the store. Leon

drew this position-time graph. What was Kumar’s displacement after 20 minutes? Give

answer is m.

2. Raj drove from New Delhi to Mumbai. While on the drive, he got bored and decided to

draw a velocity-time graph of the car. (Assume he’s accurate when finding the velocity).

Based on this graph, draw an acceleration-time graph of Raj’s drive.

3. Solinder performs Experiment 9 rolls a marble from a ramp mounted to a table several

times. Solinder needs to be perfect with this Experiment or he loses promotion at store.

He finds on average that the marble strikes the floor 30.5 cm from the ramp. The height

of the ramp is 82 cm. With what horizontal velocity must marbles leave the ramp for

Solinder to be successful? Answer is m/s

4. A fully loaded Boeing 747 Air India airplane has a mass of 4.5 x 105 g. The thrust

generated by the engines as the airplane starts down the runway is 9.7 x 105 N. What is

the acceleration of the airplane? Answer is m/s2

5. Mr. Singh and Zac Walls try to determine their reaction times by having one of them

drop a ruler between the other student’s fingers, which must catch the ruler. Zac decides

to drop the ruler and Mr. Singh will catch it. Mr. Singh’s average is 3.3 cm. They switch

positions and Zac’s average is 14.7 cm. Find the difference of the two reaction times.

6. At what point(s) does the object have a negative velocity?

7. The Detroit Lions play the Baltimore Ravens. The Lions go 3 and out and call on Sam

Martin to punt. The Lions would end up losing 18-16, and as a punishment, Jim Schwartz

demands all his players to analyze Sam Martins punt using physics. According to

Schwartz, the football is kicked at 37.0o to the horizontal at 20.0 m/s from the Martin’s

hand at 1.00 m from the ground. He wants his players to find out how far the ball traveled

before hitting the ground. What is the answer that the players would come up with?

Answer in m.

8. It’s monsoon season in India. Shankar sees a bolt of lightning and 4 s later, he hears the

thunderclap. If the speed of sound in air is 0.2 mi/s, how far away is the lightning?

Answer in miles

A

B C

A

D

E

9. The graph below shows the velocity of an object of mass 5 kg as a function of time. Plot

the graph of the force as a function of time

1) In experiment 2, The Speed Of Sound, a ground stands 60 meters from a reflecting wall. The

group does 30 claps and gets a time of 9.29s. Calculate the velocity of the sound and the percent

error the group was off if speed should be 331.4m/s.

4) A cart is accelerated by 2 loops at a rate of 1m/s2 . In a new configuration a group now sets 3

identical loops on the cart. One of the loops is 0 degrees to the front of the cart, and the other two

loops are at +, - 45 degrees. What is the carts new Acceleration?

9) A man drives his pickup truck out a cargo plane and jumps out. Using your knowledge of

physics, to explain why he falls slower than the truck.

10) A runner is at the start line. A second runner passes the first and both start off. If the first

runner has an acceleration of 2ft/sec^2, and keeps accelerating. When will the first runner reach

the second runner is going at a constant 5mi/hr? 1mi = 5280 ft.

11) From question 10, Where will the runners pass each other.

2) Draw the resultant vector

14) As a plot of the new star trek movie spock is stranded on an unknown planet is a small space

craft. His limited fuel only allows him to carry a certain amount of weight based on the planets

force of gravity. Spock fashions a pendulum out of his shoe string. His string is 70 cm long, but

his knot tying skills make it so he needs a ¼ of it to fasten the weight to the end. If he times it to

be a period of 1.3 seconds, what is this new planets “G” value.

15) Two men are testing new weapons at a gun range. Setting the new rifle at 0 degrees to the

horizon they shoot at a range of 300m. The bullet exits the barrel at a rate of 1300m/s. How far

does the bullet drop from the center of the bullseye?

16) If the barrel of the rifle is 1.2m long, at what rate was the object accelerated in the barrel?

17) You are using a computer controlled ticker similar to experiment 4. It oscillates at a rate of

500hz. If you pull a piece of paper through the ticker at a rate of 4m/s, how far will the dots be

from each other?

18) A puck is attached to a fixed point by a rope. It is pushed in a circular path. The period the

puck is 5 seconds. If the puck has a velocity of 3m/s find the length of the radius.

19) From question number 18 find the acceleration of the puck as it travels in the circle.

a. Complete the table.

# of Washers Fc (N) T (s) FcT^2 (kg m)

3 0.93

6 0.66

9 0.54

12 0.46

M(w)= 4.35g M(s)= 9.74g Length of string= .29m

b. Find % error.

1. You go to Mars and learn that its gravity is 2/3 of Earth’s, so you test out your discovery on

a pendulum. The length of the pendulum is 3.4 ft. What is the period of the pendulum? What

would be its period on Earth?

2. A rocket was launched at the moon with a speed of 525m/s. 37 seconds later, its speed is

356m/s. At what rate does the rocket decelerate?

3. A motorcycle accelerates at the rate of 13m/s^2 for seven seconds. If the motorcycle

traveled 283m, what was the motorcycle’s initial velocity?

4. Predict the values in the table based on the position-time graph.

Time (s) Position (cm) Time (s) Position (cm)

0 0 3.0 0.489

0.5 0.125 3.5

1.0 0.203 4.0

1.5 0.239 4.5

2.0 0.350 5.0

2.5 0.415 5.5

0

0.1

0.2

0.3

0.4

0.5

0.6

0 0.5 1 1.5 2 2.5 3

Position vs. Time

Position vs. Time

Time (s)

Po

siti

on

(cm

)

5. Major went on a ride called The Wheeler that spun around in circles. It would complete one

rotation every 4.7s. His cart was 40 ft. away from the center of the Wheeler, which

controlled the ride. What was the centripetal acceleration?

6. In a speed-of-sound experiment, the distance to the reflecting wall was 73m. 45 claps had a

travel time of 18s. What was the speed of sound if it were 37C?

7. One puck is pulled by a loop with a mass of 9.3 kg. Two identical pucks are pulled with two

parallel loops that exert a force 37N. Find the acceleration of both of the pucks.

8. A suitcase was dropped out of the hatch of an airplane 147 ft. from the ground. A truck is

approaching the area that the suitcase will land. The truck is going the speed limit of 35

mi/hr. and the truck is 40m away from being struck by the suitcase. The truck is 9ft. tall.

The suitcase has a velocity of 87m/s.

a. How fast must the truck go to have been hit by the suitcase?

b. Using your answer in part a, how far above the speed limit has the truck driven?

9. In Physics class, we had to calculate our reaction times using a 12 in ruler. One student

would drop it between the other’s fingers and they would then have to catch it. My reaction

time was 0.293s. Find where I was able to catch the ruler.

10. Rahul was shot out of a cannon with a force of 200N and an acceleration of 80m/s². What is

the mass of Rahul?

11. Tom Brady launches a bomb to Julian Edelman. Brady throws the ball with a velocity of

55ft/s. The ball remains in the air for four seconds. If the play is snapped on the Patriot’s

own ten yard line where does Edelman catch the ball?

12. After the Patriots demolished the Indianapolis Colts in the Divisional Playoffs Shankar was

very upset. Because of his hate for the Patriots Shankar threw his TV out of his window

which is five meters off the ground. If the TV is thrown with a velocity of 2m/s how long

does it stay in the air and how far from the house is it when it hits the ground?

13. If a pendulum has a restoring force of .65N when it is drawn back 1m how far will it have to

be drawn back for it to have a restoring force of 1N?

14. If Si Roberston from Duck Dynasty shoots a bird out of the air and it lands four seconds

after being shot how high in the air was it?

15. If Matt Prater kicks the football and it remains in the air for ten seconds what is the

highpoint of the football?

16. Draw a position versus time graph which exhibits simple harmonic motion.

17. If a cannonball is flying with a velocity of 250km/h and it is headed north, but there is a

75km/h windstorm which is heading southeast what is the cannonballs resultant velocity and

direction?

18. In Experiment 8 what is the Centripetal Force if six 5.8g washers are the weight at the

bottom of the string?

19. Suppose that Zelley was flying a plane and he had lost all sense of direction. Instead of

flying to his intended destination of Topeka, Zelley has been flying in a circle at a speed of

400km/h. Given that the radius of this circle is 30km how long does it take for Zelley to

travel one full revolution of this circle.

20. If Trevor is doing donuts on the infield of Talladega International Speedway and he

completes 5/12 of the circle in 2 seconds how long does it take him to complete a full

donut? Using the answer from the previous question, if the centripetal acceleration is

3.5m/s² what is the radius of the circle made by the car?

2. Andrew performed Experiment 2: The Velocity of Sound in Air. He performed three trials.

Given that this experiment was performed at 13°C and using the data given below, find what the

velocity of sound in air is at a temperature of 0°C. (Note: Velocity of sound increases by about

0.6 m/s for every °C rise in temperature)

Distance from wall (meters) Time for 20 claps (seconds)

40

4.87

4.32

4.50

5. To get to school from your house in the morning, you must walk 15 m east, 10 m in the

direction 30° north of west, 26 m in the direction 10° west of north, and 5 m south. What is the

total displacement from your house?

8. Mike and John are playing ping pong on top of a cliff. John beats Mike 21-0 and Mike gets

frustrated. He hits the ping-pong ball (mass of 2.2x10-3

kg) off of the cliff. The ball free falls with

a velocity of 7 m/s. Calculate the magnitude of the net force acting on the ball. (Note: c1 of a ping

pong ball= 6.4x10-6

N·s/m, c2=3.5x10-4

N·s2/m

2)

11. A rocket is shot into the air with a velocity of 72.0 m/s. Calculate the velocity of the rocket 3

seconds after firing.

13. A simple pendulum on the planet Tromblyopia is attached to a string with a length of 7 cm.

The period of the pendulum is 12 seconds per revolution. Calculate the acceleration due to

gravity on Tromblyopia.

17. A student performed Experiment 1A-Motion: Position and Velocity (with paper tape). Using

the data below, calculate the instantaneous velocity of the paper tape at 3 ticks.

Tick Distance (cm)

0 0

1 0.50

2 1.05

3 1.55

4 2.15

5 2.80

6 3.40

1. Looking at the graph, what distance does the object travel in the time interval from 3 seconds to 11

seconds? 2. Again looking at the graph, What is the total

displacement of the object? Total distance traveled?

3. A car is traveling at 75 mph and the driver sees a family of wombats 100m away on the road. What

acceleration is needed to stop before hitting the wombats? 4. You suddenly find yourself trapped in Edgar Allen Poe’s, The Pit and the Pendulum. As you are

waiting for the pendulum to descend and kill you, you decide to calculate its period to keep your mind off of impending death. As far as you can estimate, the length of the pendulum is 15m. What is the period?

5. In reference to the graph on the next page: a. What is the total distance traveled? b. What is the total displacement of the object? c. When is the acceleration the greatest? d. When is the acceleration least? e. Was the object ever stopped? If so, when?

1. Truck 2 is stopped at a light. When the light turns green truck 2 starts to go. At the same

time truck 2 starts to go truck 1 passes it going at a steady velocity.

How long will it take truck 2 to go as fast as truck 1?

0

10

20

30

40

50

60

0 5 10 15

Ve

loci

ty (

mile

s/h

ou

r)

Time (minutes)

truck 1

truck 2

2. Using the same graph and given information, how far did truck 2 have to travel to catch

up to truck 1?

3. Using this graph find the acceleration of the graph.

4. A water slide moves 50 meters vertically and then 32 meters at a 35º angle. What is the

displacement from the starting point?

5. If a circular object moves at a speed of 25.3m/s² during 3 revolutions. What is the

velocity of the circular object? Questions 1-3 apply to the graph below.

1. Using correct units, what is the slope of this graph? And what does the slope also equal? 2. What was the displacement of this lawn mower from 2s-5s? 3. Was the displacement greater from 1-4s or from 4s-6s? Show work for both intervals

0

10

20

30

40

50

60

70

80

90

0 2 4 6 8 10

Ve

loci

ty (

km/h

r)

Time (seconds)

4. I like to stand on roofs. I was standing on my roof when I decided to test the durability of my LifeProof case on my new phone. I found that it took 3 seconds for my phone to hit the ground from 13 meters high. At what velocity did my phone hit the ground? (Physicsland= no air-resistance)

1. At the Marine Corps Scout/Sniper School, Marines are taught to be expert marksmen. For

his final qualification, Sergeant Keyser is required to hit a target 1250m away from the

station. The bullet in his rifle will travel at 2773 feet per second. How long will the bullet

take to impact the target? (1 foot = 0.3048 meters)

2. A rocket travels from Earth to the Moon, then to Mars, and then immediately to Jupiter. It

is transporting a group of scientists that are researching the planets (and moon). Sketch a

velocity-time graph of the voyage from Earth to Jupiter.

3. You are in command of an attack submarine that is tracking a Russian boomer in the

North Atlantic. The Russians and Americans have hyper-accurate maps of the canyons on

the seafloor. Travelling at 30 knots, you are required to alter your course within the next

1300 ft. Because the onboard timer has currently being repaired, you must calculate how

much longer you have before the course correction. Give an accurate measurement of

time in minutes and seconds. (1 knot = 0.514 m/s)

4. Use the diagram to answer the following questions

a) At what intervals is the velocity of the object the same?

b) At what intervals is the object moving forward?

c) At what intervals is the object moving backward?

5. A common way to insert special operations forces like SEALs and Green Berets is by air.

Two different methods of jumping are used, HALO and HAHO. A HALO jump consists

of jumping from the plane at 8000ft and pulling the parachute at about 1000 ft. This

allows for a stealthy infiltration. Draw a diagram using arrows to represent the effects of

gravity and air resistance.

6. If the gravity on Mars was roughly 2/5th

of what it was on Earth, what would be the

length of a pendulum with a period of 5 seconds on Mars?

7. What is the centripetal acceleration of an object moving in a circle which has a

circumference of 3.0 m and a period of 8 seconds?

8. If the speed of an object moving in a circle is whacked in half, how does it affect the

magnitude of the centripetal force?

1. A mathematician is studying motion along a straight line and she is having trouble with

whether or not she can consider certain things as points. Of the following which of the situations

can she consider the moving body as a point?

a) A bird migrating from the north to the south.

b) A car traveling a distance of 20 meters. (The length of car is around 4 meters.)

c) A phone being dropped from the Millau Viaduct bridge. (Height of 343 meters or

1,122 feet.)

d) A large piece of cookie dough that is traveling from a hand to a mouth.

2. If I have a pen that is consistently hitting a piece of paper that I am moving and it creates a

pattern that looks like this:

• • • • • • • • • • • • ••••••

What am I doing to the paper in terms of the speed I am pulling it?

3. Which Velocity-Time Graph would it be more effective to find the instantaneous velocity of

the object instead of the average velocity of the object after 3/4 of time has passed?

a) b) c) d)

7. If a rock is pulled with 1/2 the acceleration that is needed to pull a piece of metal along an

identical puck. What is the ratio of the masses (rock to piece of metal)?

10. When adding vectors F1 and F2 what vector is considered to be F?

F2 c)

F1 d)

a) b)

Vel

oci

ty (

m/s

)

Vel

oci

ty (

m/s

)

Vel

oci

ty (

m/s

)

Vel

oci

ty (

m/s

)

11. When subtracting vectors F1 and F2 what vector is considered to be F1 -F2?

F2

F1

a) b)

c) d)

1. Use the previous graph to answer the following questions:

A) What is the best approximation of the displacement, in meters, of the object over the

fist 15 seconds?

B) During which intervals is the object moving in a positive direction?

C) At what time (or interval) is the greatest negative velocity?

2. Use the previous graph to answer the following questions:

A) What is the displacement, in meters, of the object from 15-40 seconds?

B) During which time interval(s), is the object moving in a positive direction?

C) How far does the object travel between 10-15 seconds?

3. The differences between position-time and velocity-time graphs

A) What does a horizontal line mean?

B) How can you tell the object is moving in a positive direction?

C) What does the slope tell the person?

20.