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 sv = ?

A car moving at 0 m/s speeds up with a constant acceleration of 2.5 m/s² for 4 s. Find its final speed v.

v₀ = 0 m/sa = 2.5 m/s²t = 4 s
v = m/s
2.Easy
h = 30 m

A stone is dropped from rest from a bridge 30 m above the water. Ignore air resistance and use g = 9.81 m/s². How long does it take to reach the water? Find t.

v₀ = 0h = 30 mg = 9.81 m/s²
t = 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
t (s)v (m/s)10 s30

A car driving at 108 km/h brakes with a constant deceleration of 3 m/s² until it stops. Find the braking distance s.

v₀ = 108 km/ha = −3 m/s²v = 0
s = m
5.Hard
v₀ = 19 m/s25 m

A ball is thrown straight up at 19 m/s from the edge of a roof 25 m above the ground. Ignore air resistance and use g = 9.81 m/s². How long after the throw does it hit the ground? Find t.

v₀ = 19 m/sh₀ = 25 mg = 9.81 m/s²
t = s
6.Hard
a = 36 m/s²

A model rocket is launched straight up from rest. Its engine gives it a constant upward acceleration of 36 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 = 36 m/s²t1 = 3 sg = 9.81 m/s²
hmax = m

Answer key

  1. 1. v = 10 m/s
  2. 2. t = 2.473 s
  3. 3. t = 2.667 s
  4. 4. s = 150 m
  5. 5. t = 4.911 s
  6. 6. hmax = 756.5 m

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