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)4 s13

A car speeds up uniformly from 10 m/s to 13 m/s in 4 s. Find the acceleration a.

v₀ = 10 m/sv = 13 m/st = 4 s
a = m/s²
2.Easy
t (s)v (m/s)6 sv = ?

A car moving at 10 m/s speeds up with a constant acceleration of 3 m/s² for 6 s. Find its final speed v.

v₀ = 10 m/sa = 3 m/s²t = 6 s
v = m/s
3.Medium
t (s)v (m/s)t = ?20

A car driving at 72 km/h brakes with a constant deceleration of 7.5 m/s² until it stops. How long does braking take? Find t.

v₀ = 72 km/ha = −7.5 m/s²v = 0
t = s
4.Medium
a = 3.75 m/s²s = 800 m

A plane starts from rest and accelerates uniformly at 3.75 m/s² along a runway. Find its speed v after 800 m.

v₀ = 0a = 3.75 m/s²s = 800 m
v = m/s
5.Hard
a = 24 m/s²

A model rocket is launched straight up from rest. Its engine gives it a constant upward acceleration of 24 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 = 24 m/s²t1 = 3 sg = 9.81 m/s²
hmax = m
6.Hard
a = 38 m/s²

A model rocket is launched straight up from rest. Its engine gives it a constant upward acceleration of 38 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 = 38 m/s²t1 = 3 sg = 9.81 m/s²
hmax = m

Answer key

  1. 1. a = 0.75 m/s²
  2. 2. v = 28 m/s
  3. 3. t = 2.667 s
  4. 4. v = 77.46 m/s
  5. 5. hmax = 372.2 m
  6. 6. hmax = 833.4 m

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