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)7 sv = ?

A car moving at 6 m/s speeds up with a constant acceleration of 0.5 m/s² for 7 s. Find its final speed v.

v₀ = 6 m/sa = 0.5 m/s²t = 7 s
v = m/s
3.Medium
a = 2 m/s²s = 1000 m

A plane starts from rest and accelerates uniformly at 2 m/s² along a runway. Find its speed v after 1000 m.

v₀ = 0a = 2 m/s²s = 1000 m
v = m/s
4.Medium
policea = 5.5 m/s²car24 m/s

A car speeding at a constant 24 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 = 24 m/sapolice = 5.5 m/s²v0,police = 0
d = m
5.Hard
a = 28 m/s²

A model rocket is launched straight up from rest. Its engine gives it a constant upward acceleration of 28 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 = 28 m/s²t1 = 3 sg = 9.81 m/s²
hmax = m
6.Hard
t (s)v (m/s)9 s

A tram starts from rest and accelerates at 3 m/s² for 9 s, then runs at constant speed for 6 s, and finally brakes at 3.5 m/s² until it stops. Find the total travel time t.

a1 = 3 m/s²t1 = 9 st2 = 6 sa3 = −3.5 m/s²
t = s

Answer key

  1. 1. a = 3 m/s²
  2. 2. v = 9.5 m/s
  3. 3. v = 63.25 m/s
  4. 4. d = 209.5 m
  5. 5. hmax = 485.6 m
  6. 6. t = 22.71 s

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