Cars and Rockets
Throwing Things Up
Freely Flying Objects
Sports
Misc.
100
A 0.32kg toy car started from rest and accelerated forwards over a distance of 2.4m at which point it reached a maximum speed of 3.6m/s. What was the acceleration of the toy car.
2.7m/s2
100

You throw a ball up and let it fall back down to you. How does the times of flight of the upwards and downwards trips compare?

They are equal.

100
A 24.6kg television is dropped from the top of a 34m tall building. How long does it take for the television to hit the ground?
2.63 seconds
100
A batter hits a pop fly straight into the air and it spends a total time of 3.4 seconds in the air before being caught. With what velocity did that ball leave the bat?
16.7 m/s
100

A rock is thrown upwards and falls back to Earth. How does the acceleration compare for the upwards and downwards trips?

-9.8m/s2 on the way up, -9.8m/s2 on the way down

200
A 3,260kg Lamborghini is driving at 44.3m/s when it slams on the brakes and skids to a stop. If the Lamborghini experienced constant deceleration of magnitude 34m/s2 while it was skidding, how many meters long were the skid marks it created on the road?
28.9 meters
200

You throw a ball up and let it fall back down to you. How does the speed when you catch it compare to the speed you threw it?

They are equal.

200
A 12kg chair is dropped from the top of a 23m tall building. What is the velocity of the chair right before it hits the ground?
-21.2 m/s (must have the negative sign)
200
A football is punted poorly and it goes straight upwards. If the ball left the foot of the punter with a speed of 34.5m/s how high in the air does the ball make it?
60.7m
200

A planet has 1/3 the gravity of Earth. How many times higher can you jump there?

3 times higher

300
A rocket starts from the ground and is launched upwards by a thruster that acts on it for 4.3seconds. The constant acceleration provided by the thruster has a magnitude of 51.3m/s2. What is the altitude of the rocket when the thruster stops?
474 meters
300

You throw two objects a distance of 10 m. Object A has an initial velocity of 2m/s and a final velocity of 4m/s. Object B starts from rest and reaches a final velocity of 9m/s. Which object reaches 10 meters faster?

Object B.

300
A 1.5kg potato is thrown upwards with a speed of 34m/s from the street next to a 40m tall building. How high does the potato make it above the roof of the building?
18.97m above the roof (or rounding 19.0m above the roof)
300
When the running back grabs the football he is moving with a speed of 6.2m/s, but he immediately runs into the defensive line which slows him with constant deceleration until stopping him 2.3 meters in front of where he took the ball. How many seconds did it take the running back to be stopped by the defensive line?
0.74 seconds
300

An airplane accelerates down a runway at 3.20 m/s2 for 32.8 s until is finally lifts off the ground. Determine the distance traveled before takeoff.

1720 m

400

You decide to illegally drag-race your friend on the way to Chick-fil-a. If your car accelerates at a constant rate of 3.5 m/s2 and you reach a top speed of 22 m/s, how far was your race?

69m

400

You throw a bouncy ball at the ground as hard as you can. It takes the ball 10 seconds to bounce up, then bounce back down. How long does the free fall portion of the bounce take?

5 seconds

400
You stand on the roof of a 52m tall building. You drop a glass vase from the roof, and then 1.2 seconds later you drop another vase of twice the mass. At the moment the first vase crashes into the ground, how far below the roof is the second (heavier) vase?
20.7m below the roof of the building (the mass does not matter)
400
Kobe Bryant is on the roof of the Staples Center and he kicks a basketball straight upwards with a speed of 27.1 m/s. If the Staples Center is 45.7m tall, how long will it take the basketball to strike the ground at the bottom of the Staples Center?
6.89 seconds
400

A car starts from rest and accelerates uniformly over a time of 5.21 seconds for a distance of 110 m. Determine the acceleration of the car.

8.10 m/s/s

500

A rocket starts from the ground and is launched upwards by a thruster that provides a constant acceleration of magnitude of 78.2m/s2 until it reaches an altitude of 785m above the ground. How many seconds does it take the rocket to reach a maximum velocity of 350m/s?

4.48 seconds 

500

You get very sick at school. So sick that you lose your lunch. Your partially digested french fries fly 5m away from your mouth at a constant acceleration of 2m/s2. How long does the episode last?

2.23s

500
A weather balloon holding 4.5kg of electronic monitoring equipment starts from the ground and travels upwards with a constant velocity of 8m/s until it reaches an altitude of 400m. However, at 400m the balloon pops. The monitoring equipment continues upwards for a while since it had an initial velocity but then it falls freely to the ground. How many seconds does the entire trip take?
59.9 seconds (do not accept 59.0 seconds since this does not include the initial velocity)
500
A hockey player of mass M starts from rest and speeds up with a constant acceleration A for a time T1 until reaching a maximum velocity. She travels with this maximum velocity for a time T2. Then the hockey player slows with constant deceleration to a stop in a time T3. How many meters in total did the hockey player travel?
½AT12 + AT1T2 + T3AT1/2
500

It was once recorded that a Jaguar left skid marks that were 290 m in length. Assuming that the Jaguar skidded to a stop with a constant acceleration of -3.90 m/s2, determine the speed of the Jaguar before it began to skid.

47.6 m/s

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