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)3 sv = ?

A car moving at 6 m/s speeds up with a constant acceleration of 2.5 m/s² for 3 s. Find its final speed v.

v₀ = 6 m/sa = 2.5 m/s²t = 3 s
v = m/s
2.Easy
t (s)v (m/s)7 sv = ?

A car moving at 8 m/s speeds up with a constant acceleration of 4 m/s² for 7 s. Find its final speed v.

v₀ = 8 m/sa = 4 m/s²t = 7 s
v = m/s
3.Medium
policea = 5.5 m/s²car20 m/s

A car speeding at a constant 20 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 5.5 m/s². How far from its starting point does the police car catch up? Find d.

vcar = 20 m/sapolice = 5.5 m/s²v0,police = 0
d = m
4.Medium
t (s)v (m/s)3.571 s25

A car driving at 90 km/h brakes with a constant deceleration of 7 m/s² until it stops. Find the braking distance s.

v₀ = 90 km/ha = −7 m/s²v = 0
s = m
5.Hard
AB: 28 m/s60 m

Ball A is dropped from rest from a height of 60 m. At the same instant ball B is thrown straight up from the ground directly below at 28 m/s. Ignore air resistance and use g = 9.81 m/s². When do the balls meet? Find t.

H = 60 mv0B = 28 m/sg = 9.81 m/s²
t = s
6.Hard
v₀ = 20 m/s5 m

A ball is thrown straight up at 20 m/s from the edge of a roof 5 m above the ground. Ignore air resistance and use g = 9.81 m/s². Find the greatest height hmax above the ground.

v₀ = 20 m/sh₀ = 5 mg = 9.81 m/s²
hmax = m

Answer key

  1. 1. v = 13.5 m/s
  2. 2. v = 36 m/s
  3. 3. d = 145.5 m
  4. 4. s = 44.64 m
  5. 5. t = 2.143 s
  6. 6. hmax = 25.39 m

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