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)3 s3.75

A car starts from rest and speeds up uniformly to 3.75 m/s in 3 s. Find the acceleration a.

v₀ = 0 m/sv = 3.75 m/st = 3 s
a = m/s²
2.Easy
t (s)v (m/s)10 sv = ?

A car moving at 6 m/s speeds up with a constant acceleration of 1.5 m/s² for 10 s. Find its final speed v.

v₀ = 6 m/sa = 1.5 m/s²t = 10 s
v = m/s
3.Medium
t (s)v (m/s)1.25 s10

A car driving at 36 km/h brakes with a constant deceleration of 8 m/s² until it stops. Find the braking distance s.

v₀ = 36 km/ha = −8 m/s²v = 0
s = m
4.Medium
t (s)v (m/s)1.3 s27.78

A driver moving at 100 km/h sees an obstacle. Her reaction time is 1.3 s, after which the car brakes with a constant deceleration of 4.5 m/s². Find the total stopping distance d from the moment she sees the obstacle.

v₀ = 100 km/htr = 1.3 sa = −4.5 m/s²
d = m
5.Hard
v₀ = 8 m/s25 m

A ball is thrown straight up at 8 m/s from the edge of a roof 25 m above the ground. Ignore air resistance and use g = 9.81 m/s². Find the greatest height hmax above the ground.

v₀ = 8 m/sh₀ = 25 mg = 9.81 m/s²
hmax = m
6.Hard
a = 40 m/s²

A model rocket is launched straight up from rest. Its engine gives it a constant upward acceleration of 40 m/s² for 1.5 s, after which the engine stops and the rocket moves freely. Ignore air resistance and use g = 9.81 m/s². How long after launch does it hit the ground? Find t.

a = 40 m/s²t1 = 1.5 sg = 9.81 m/s²
t = s

Answer key

  1. 1. a = 1.25 m/s²
  2. 2. v = 21 m/s
  3. 3. s = 6.25 m
  4. 4. d = 121.8 m
  5. 5. hmax = 28.26 m
  6. 6. t = 14.44 s

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