Velocity and Acceleration Exercises

Velocity and Acceleration Exercises

Exercise 1.

Find my final displacement, and the total distance I walked, in each of the following cases:

(a) I walk 6 m to the right and then 3 m to the left.
(b) I walk 8 m to the right and then 12 m to the left.
(c) I walk 2 m to the right and then 3 m to the left.
(d) I walk 10 m to the right and then 2 m to the left.

Take the right side as the positive direction.

Example 2.

Find my average velocity and average speed in each of the following cases:

(a) I run 9 m to the right in 5 s, then 4 m to the left in 5 s.
(b) I run 5 m to the right in 5 s, then 8 m to the left in 5 s.
(c) I run 2 m to the right in 2 s, then 4 m to the left in 4 s.
(d) I run 6 m to the right in 3 s, then 3 m to the right in 3 s.

Take the left side as the positive direction.

Exercise 3.

Find the acceleration of a car in each of the following cases:

(a) It starts at 2 m/s to the right. After 10 s, it moves at 8 m/s to the right.
(b) It starts at 8 m/s to the right. After 10 s, it moves at 2 m/s to the right.
(c) It starts at 2 m/s to the right. After 10 s, it moves at 8 m/s to the left.
(d) It starts at 2 m/s to the left. After 10 s, it moves at 8 m/s to the right.
(e) It starts at 2 m/s to the left. After 10 s, it moves at 8 m/s to the left.

Take the right side as the positive direction.

Exercise 4.

I throw a paper ball upwards, and catch it again when it comes down. Find its acceleration in each of the following cases:

(a) The ball leaves my hand at 1 m/s, and hits my hand at 0.8 m/s after 2 s.
(b) The ball leaves my hand at 2 m/s, and hits my hand at 1 m/s after 2 s.
(c) The ball leaves my hand at 1 m/s, and hits my hand at 0.8 m/s after 3 s.
(d) The ball leaves my hand at 2 m/s, and hits my hand at 0.5 m/s after 0.5 s.

Take the upward direction as the positive direction.

The Physics Notes