Kinematics worksheet with answers

Free printable Kinematics worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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Name: ____________________ Date: ____________

1.Easy

A train slows down uniformly from 14 m/s to 7 m/s in 11 s. How far does it travel in that time? Find s.

v₀ = 14 m/sv = 7 m/st = 11 s

s = m

2.Easy

A car moving at 14 m/s speeds up with a constant acceleration of 1 m/s² for 7 s. How far does it travel in that time? Find s.

v₀ = 14 m/sa = 1 m/s²t = 7 s

s = m

3.Medium

A driver moving at 54 km/h sees an obstacle. Her reaction time is 1.2 s, after which the car brakes with a constant deceleration of 8 m/s². Find the total stopping distance d from the moment she sees the obstacle.

v₀ = 54 km/ht_r = 1.2 sa = −8 m/s²

d = m

4.Medium

A driver moving at 100 km/h sees an obstacle. Her reaction time is 1.2 s, after which the car brakes with a constant deceleration of 5 m/s². Find the total stopping distance d from the moment she sees the obstacle.

v₀ = 100 km/ht_r = 1.2 sa = −5 m/s²

d = m

5.Hard

A ball is thrown straight up at 20 m/s from the edge of a roof 20 m above the ground. Ignore air resistance and use g = 9.81 m/s². How long after the throw does it hit the ground? Find t.

v₀ = 20 m/sh₀ = 20 mg = 9.81 m/s²

t = s

6.Hard

Ball A is dropped from rest from a height of 50 m. At the same instant ball B is thrown straight up from the ground directly below at 19 m/s. Ignore air resistance and use g = 9.81 m/s². When do the balls meet? Find t.

H = 50 mv_0B = 19 m/sg = 9.81 m/s²

t = s

Answer key

1. s = 115.5 m
2. s = 122.5 m
3. d = 32.06 m
4. d = 110.5 m
5. t = 4.908 s
6. t = 2.632 s

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