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)15 s9

A train slows down uniformly from 19 m/s to 9 m/s in 15 s. How far does it travel in that time? Find s.

v₀ = 19 m/sv = 9 m/st = 15 s
s = m
2.Easy
t (s)v (m/s)3 s17.5

A car moving at 16 m/s speeds up with a constant acceleration of 0.5 m/s² for 3 s. How far does it travel in that time? Find s.

v₀ = 16 m/sa = 0.5 m/s²t = 3 s
s = m
3.Medium
a = ?s = 900 m

A plane needs a speed of 300 km/h to take off and the usable runway is 900 m long. Starting from rest, what constant acceleration a does it need?

v₀ = 0v = 300 km/hs = 900 m
a = m/s²
4.Medium
policea = 5.5 m/s²car15 m/s

A car speeding at a constant 15 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 5.5 m/s². How long does it take the police car to catch up? Find t.

vcar = 15 m/sapolice = 5.5 m/s²v0,police = 0
t = s
5.Hard
AB: 19 m/s55 m

Ball A is dropped from rest from a height of 55 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 = 55 mv0B = 19 m/sg = 9.81 m/s²
t = s
6.Hard
v₀ = 5 m/s25 m

A ball is thrown straight up at 5 m/s from the edge of a roof 25 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 = 5 m/sh₀ = 25 mg = 9.81 m/s²
t = s

Answer key

  1. 1. s = 210 m
  2. 2. s = 50.25 m
  3. 3. a = 3.858 m/s²
  4. 4. t = 5.455 s
  5. 5. t = 2.895 s
  6. 6. t = 2.824 s

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