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)9 s18

A car starts from rest and speeds up uniformly to 18 m/s in 9 s. Find the acceleration a.

v₀ = 0 m/sv = 18 m/st = 9 s
a = m/s²
2.Easy
t (s)v (m/s)5 s18

A train slows down uniformly from 28 m/s to 18 m/s in 5 s. How far does it travel in that time? Find s.

v₀ = 28 m/sv = 18 m/st = 5 s
s = m
3.Medium
t (s)v (m/s)3.75 s30

A car driving at 108 km/h brakes with a constant deceleration of 8 m/s² until it stops. Find the braking distance s.

v₀ = 108 km/ha = −8 m/s²v = 0
s = m
4.Medium
policea = 3.5 m/s²car31 m/s

A car speeding at a constant 31 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 3.5 m/s². How long does it take the police car to catch up? Find t.

vcar = 31 m/sapolice = 3.5 m/s²v0,police = 0
t = s
5.Hard
a = 26 m/s²

A model rocket is launched straight up from rest. Its engine gives it a constant upward acceleration of 26 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. Find the greatest height hmax the rocket reaches.

a = 26 m/s²t1 = 2.5 sg = 9.81 m/s²
hmax = m
6.Hard
t (s)v (m/s)4 s

A tram starts from rest and accelerates at 2 m/s² for 4 s, then runs at constant speed for 25 s, and finally brakes at 4 m/s² until it stops. Find the total distance s between the two stops.

a1 = 2 m/s²t1 = 4 st2 = 25 sa3 = −4 m/s²
s = m

Answer key

  1. 1. a = 2 m/s²
  2. 2. s = 115 m
  3. 3. s = 56.25 m
  4. 4. t = 17.71 s
  5. 5. hmax = 296.6 m
  6. 6. s = 224 m

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