# Uniform Acceleration Motion: Problems with Solutions

Problems on velocity and uniform acceleration are presented along with detailed solutions and tutorials can also be found in this website.

### Problem 1:

From rest, a car accelerated at 8 m/s2 for 10 seconds.
a) What is the position of the car at the end of the 10 seconds?
b) What is the velocity of the car at the end of the 10 seconds?
Solution to Problem 1

### Problem 2:

With an initial velocity of 20 km/h, a car accelerated at 8 m/s2 for 10 seconds.
a) What is the position of the car at the end of the 10 seconds?
b) What is the velocity of the car at the end of the 10 seconds?
Solution to Problem 2

### Problem 3:

A car accelerates uniformly from 0 to 72 km/h in 11.5 seconds.
a) What is the acceleration of the car in m/s
2?
b) What is the position of the car by the time it reaches the velocity of 72 km/h?
Solution to Problem 3

### Problem 4:

An object is thrown straight down from the top of a building at a speed of 20 m/s. It hits the ground with a speed of 40 m/s.
a) How high is the building?
b) How long was the object in the air?
Solution to Problem 4

### Problem 5:

A train brakes from 40 m/s to a stop over a distance of 100 m.
a) What is the acceleration of the train?
b) How much time does it take the train to stop?
Solution to Problem 5

### Problem 6:

A boy on a bicycle increases his velocity from 5 m/s to 20 m/s in 10 seconds.
a) What is the acceleration of the bicycle?
b) What distance was covered by the bicycle during the 10 seconds?
Solution to Problem 6

### Problem 7:

a) How long does it take an airplane to take off if it needs to reach a speed on the ground of 350 km/h over a distance of 600 meters (assume the plane starts from rest)?
b) What is the acceleration of the airplane over the 600 meters?
Solution to Problem 7

### Problem 8:

Starting from a distance of 20 meters to the left of the origin and at a velocity of 10 m/s, an object accelerates to the right of the origin for 5 seconds at 4 m/s2. What is the position of the object at the end of the 5 seconds of acceleration?
Solution to Problem 8

### Problem 9:

What is the smallest distance, in meters, needed for an airplane touching the runway with a velocity of 360 km/h and an acceleration of -10 m/s2 to come to rest?
Solution to Problem 9

### Problem 10:

To approximate the height of a water well, Martha and John drop a heavy rock into the well. 8 seconds after the rock is dropped, they hear a splash caused by the impact of the rock on the water. What is the height of the well. (Speed of sound in air is 340 m/s).
Solution to Problem 10

### Problem 11:

A rock is thrown straight up and reaches a height of 10 m.
a) How long was the rock in the air?
b) What is the initial velocity of the rock?
Solution to Problem 11

### Problem 12:

A car accelerates from rest at 1.0 m/s2 for 20.0 seconds along a straight road . It then moves at a constant speed for half an hour. It then decelerates uniformly to a stop in 30.0 s. Find the total distance covered by the car.
Solution to Problem 12