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 worksheetPractise 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
t (s)v (m/s)4 s14

A car speeds up uniformly from 4 m/s to 14 m/s in 4 s. Find the acceleration a.

v₀ = 4 m/sv = 14 m/st = 4 s
a = m/s²
2.Easy
t (s)v (m/s)8 sv = ?

A car moving at 16 m/s speeds up with a constant acceleration of 0.5 m/s² for 8 s. Find its final speed v.

v₀ = 16 m/sa = 0.5 m/s²t = 8 s
v = m/s
3.Medium
t (s)v (m/s)2.778 s13.89

A car driving at 50 km/h brakes with a constant deceleration of 5 m/s² until it stops. Find the braking distance s.

v₀ = 50 km/ha = −5 m/s²v = 0
s = m
4.Medium
policea = 6 m/s²car29 m/s

A car speeding at a constant 29 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 6 m/s². How far from its starting point does the police car catch up? Find d.

vcar = 29 m/sapolice = 6 m/s²v0,police = 0
d = m
5.Hard
v₀ = 17 m/s15 m

A ball is thrown straight up at 17 m/s from the edge of a roof 15 m above the ground. Ignore air resistance and use g = 9.81 m/s². Find the greatest height hmax above the ground.

v₀ = 17 m/sh₀ = 15 mg = 9.81 m/s²
hmax = m
6.Hard
a = 30 m/s²

A model rocket is launched straight up from rest. Its engine gives it a constant upward acceleration of 30 m/s² for 3 s, after which the engine stops and the rocket moves freely. Ignore air resistance and use g = 9.81 m/s². Find the greatest height hmax the rocket reaches.

a = 30 m/s²t1 = 3 sg = 9.81 m/s²
hmax = m

Answer key

  1. 1. a = 2.5 m/s²
  2. 2. v = 20 m/s
  3. 3. s = 19.29 m
  4. 4. d = 280.3 m
  5. 5. hmax = 29.73 m
  6. 6. hmax = 547.8 m

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