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.

New worksheet Practise online with hints

For teachers: free to print, copy and use in class. Every new worksheet has new values and its own answer key. A link to ExamProblems on your course page is appreciated.

Name: ____________________ Date: ____________

1.Easy

A car moving at 2 m/s speeds up with a constant acceleration of 1.5 m/s² for 10 s. How far does it travel in that time? Find s.

v₀ = 2 m/sa = 1.5 m/s²t = 10 s

s = m

2.Easy

A stone is dropped from rest from a bridge 80 m above the water. Ignore air resistance and use g = 9.81 m/s². Find its speed v just before it hits the water.

v₀ = 0h = 80 mg = 9.81 m/s²

v = m/s

3.Medium

A driver moving at 80 km/h sees an obstacle. Her reaction time is 0.7 s, after which the car brakes with a constant deceleration of 4.5 m/s². Find the total stopping distance d from the moment she sees the obstacle.

v₀ = 80 km/ht_r = 0.7 sa = −4.5 m/s²

d = m

4.Medium

A car driving at 36 km/h brakes with a constant deceleration of 7 m/s² until it stops. Find the braking distance s.

v₀ = 36 km/ha = −7 m/s²v = 0

s = m

5.Hard

A stone is dropped from rest into a well. The splash is heard 4.8 s after the stone is released. The speed of sound is 343 m/s; ignore air resistance and use g = 9.81 m/s². Find the depth d of the well.

t_total = 4.8 sv_sound = 343 m/sg = 9.81 m/s²

d = m

6.Hard

A model rocket is launched straight up from rest. Its engine gives it a constant upward acceleration of 20 m/s² for 2.5 s, after which the engine stops and the rocket moves freely. Ignore air resistance and use g = 9.81 m/s². How long after launch does it hit the ground? Find t.

a = 20 m/s²t₁ = 2.5 sg = 9.81 m/s²

t = s

Answer key

1. s = 95 m
2. v = 39.62 m/s
3. d = 70.43 m
4. s = 7.143 m
5. d = 99.73 m
6. t = 13.82 s

Full step-by-step solutions: practise this topic on examproblems.com.