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.

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1.Easy
t (s)v (m/s)7 s29

A car speeds up uniformly from 8 m/s to 29 m/s in 7 s. Find the acceleration a.

v₀ = 8 m/sv = 29 m/st = 7 s
a = m/s²
2.Easy
t (s)v (m/s)12 s60

A car moving at 12 m/s speeds up with a constant acceleration of 4 m/s² for 12 s. How far does it travel in that time? Find s.

v₀ = 12 m/sa = 4 m/s²t = 12 s
s = m
3.Medium
t (s)v (m/s)2.222 s16.67

A car driving at 60 km/h brakes with a constant deceleration of 7.5 m/s² until it stops. Find the braking distance s.

v₀ = 60 km/ha = −7.5 m/s²v = 0
s = m
4.Medium
policea = 5 m/s²car35 m/s

A car speeding at a constant 35 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 5 m/s². How far from its starting point does the police car catch up? Find d.

vcar = 35 m/sapolice = 5 m/s²v0,police = 0
d = m
5.Hard
a = 22 m/s²

A model rocket is launched straight up from rest. Its engine gives it a constant upward acceleration of 22 m/s² for 1 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 = 22 m/s²t1 = 1 sg = 9.81 m/s²
hmax = m
6.Hard
t (s)v (m/s)5 s

A tram starts from rest and accelerates at 1.5 m/s² for 5 s, then runs at constant speed for 20 s, and finally brakes at 5 m/s² until it stops. Find the total travel time t.

a1 = 1.5 m/s²t1 = 5 st2 = 20 sa3 = −5 m/s²
t = s

Answer key

  1. 1. a = 3 m/s²
  2. 2. s = 432 m
  3. 3. s = 18.52 m
  4. 4. d = 490 m
  5. 5. hmax = 35.67 m
  6. 6. t = 26.5 s

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