Physics 112 - Linear Motion Problems
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A vehicle is capable of accelerating from 0.0 m/s to 40.0 m/s in 10.0 seconds.
a. What is the acceleration?
b. How much distance is covered?
c. What is the average speed?
A ball rolls along a floor and when first noticed it is rolling at 1.0 m/s and eventually reaches a
speed of 9.0 m/s.
a. What is the average velocity?
b. If the change in velocity occurred in 20.0 seconds,
i. What was the acceleration?
ii. What distance was covered?
A truck initially at rest rolls down an inclined plane that is 100.0 m long and accelerates at 5.0
m/s2.
a. What is the final velocity?
b. How long does it take to reach the bottom?
c. What is the average velocity?
A ball is dropped and attains a velocity of 29.31 m/s in 3.00 seconds. What is the acceleration
due to gravity?
An automobile can be accelerated from 95 km/h to 142 km/h in 8.1 seconds. What is the
acceleration?
A large rock is dropped from a bridge into the river below.
a. If the time required for it to drop is 1.7 seconds, with what velocity in m/s does it hit the
water?
b. What is the height of the bridge?
A metal ball is dropped from rest from a height of 145 m.
a. How long does it take the ball to drop?
b. What velocity does it attain?
What velocity is attained by an object that is accelerated at 0.30 m/s2 for a distance of 54 m if its
initial velocity is 0.50 m/s2?
The brakes on an automobile are capable of decelerating it at a rate of 7.00 m/s2.
a. What time is required to reduce the velocity from 157.0 km/h to 75.0 km/h?
b. How many metres does the car travel during this deceleration?
A stone is released from a balloon while the balloon is ascending at the rate of 5.0 m/s and
when the balloon is 353 m above the ground. What time is required for the stone to reach the
ground?
A baseball is thrown vertically downward from the top of a 155 m tower with an initial velocity
of 25 m/s.
a. With what velocity does it reach the ground?
b. What time is required to reach the ground?
A dolphin accelerates form 1.0 m/s to 7.6 m/s in 5.5 seconds. What was the acceleration?
13. A car accelerates from rest to 100.0 km/h in 7.0 seconds. What is its acceleration in m/s2?
14. At high speeds, an automobile is capable of an acceleration of about 0.50 m/s2. At this rate,
how long does it take to accelerate from 90.0 km/h to 100.0 km/h?
15. A car accelerates from 40.0 km/h to 80.0 km/h in 5.0 seconds.
a. What was its acceleration in m/s2?
b. How far did it travel in this time?
16. A car decelerates from a speed of 30.0 m/s to rest in 6.0 seconds. How far did it travel in this
time?
17. An eagle accelerates from 15 m/s to 20.0 m/s over a distance of 50.0 metres. What was its
acceleration?
Physics 112 - Linear Motion Problems
18. A linebacker starts from rest and accelerates at a constant rate for 2.0 seconds to make a tackle
7.0 metres away.
a. What was the acceleration during the tackle?
b. What was the average speed?
19. A biker decelerates from 10.0 m/s to rest in 4.0 seconds.
a. Calculate the distance required to stop.
b. What was the deceleration?
20. An object with an initial velocity of 20.0 cm/s in accelerated at 8.0 cm/s2 for 5.0 seconds.
a. What is the total displacement?
b. What is the displacement during the 5th second?
21. A ball is thrown from the ground to the top of the school flagpole and it returns to the ground
after 4.0 seconds. What is the height of the flagpole?
22. A 100.0 m long train accelerates uniformly from rest. If the front of the train passes a railway
worker 150.0 m down the track at a velocity of 25 m/s, what will be the velocity of the last car as
it passes the worker?
23. A car travelling at 80.0 km/h decelerates at 1.5 m/s2. Calculate:
a. This distance it goes before it stops.
b. The time it takes to stop.
c. The distance it travels during the 3rd second.
d. The distance it travels during the 5th second.
24. A car starts at 5.0 m/s and reaches a velocity of 15.0 m/s when it reaches the 10.0 m mark.
a. What is the average velocity?
b. What is the acceleration?
c. What is its velocity at the 8.0 m mark?
25. A stone is thrown from the top of a 78.4 m tower and takes 3.5 seconds to reach the ground.
Was the stone initially thrown upwards, outwards or downwards? Explain how you knew in one
sentence.
26. Two bullets are fired from the same point, at the same time and in the same direction. One
bullet travels at 1200 m/s and the other at 1450 m/s. How far away must the target be so that
the bullets arrive 1.0 seconds apart?
27. A truck driver travelling along a level road at 20.0 m/s sees a car back out of a driveway onto the
road in front of her. If she needs a reaction distance of 14 m and after hitting the brakes, the
vehicle can decelerate at -9.0 m/s2, what is the closest the car can be to not get hit by the truck?
28. Rock A is dropped off tower A from a height of 30 m. Rock B is thrown down off tower B from a
height of 35 m. What must be the initial velocity if rock B if the rocks hit the ground together?
29. With what initial velocity would a ball have to be thrown upward to remain in the air for 10
seconds?
30. A person jumps off a 90 m building just as he throws a mat to the ground at an initial velocity of
5.0 m/s. How long is the mat on the ground before he is? (Neglect air friction.)
31. A car is undergoing constant acceleration and between the 3.0 second mark and the 6.0 second
mark, its speed changes from 9.0 m/s to 12 m/s. How far will it have travelled by the end of 10
seconds?
32. A rock is known to hit the ground at 35.0 m/s. If it left from the top of a 15.0 m tower, what was
its initial velocity?
33. A car decelerates at -5.0 m/s2 and comes to a stop in 2.0 m. What was its initial velocity?
34. A person standing on a 6.0 m overpass wished to jump into the back of a truck that is
approaching at 30.0 m/s. How far is the truck from the edge of the overpass when the person
needs to jump?
35. Two cars are traveling side by side on a traffic circle at 30.0 m/s when the car on the right takes
an exit ramp. The car on the left is forced to go around the entire traffic circle before taking the
same exit next time around. The latter car increases its speed to 35 m/s just as it exits the circle
and catches the first car in 5.0 minutes after leaving the circle. What was the radius of the
traffic circle?