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
v = ?h = 25 m

A stone is dropped from rest from a bridge 25 m above the water. Ignore air resistance and use g = 9.81 m/s². Find its speed v just before it hits the water.

v₀ = 0h = 25 mg = 9.81 m/s²
v = m/s
2.Easy
t (s)v (m/s)11 sv = ?

A car moving at 4 m/s speeds up with a constant acceleration of 3.5 m/s² for 11 s. Find its final speed v.

v₀ = 4 m/sa = 3.5 m/s²t = 11 s
v = m/s
3.Medium
t (s)v (m/s)t = ?30

A car driving at 108 km/h brakes with a constant deceleration of 4.5 m/s² until it stops. How long does braking take? Find t.

v₀ = 108 km/ha = −4.5 m/s²v = 0
t = s
4.Medium
t (s)v (m/s)9.524 s33.33

A car driving at 120 km/h brakes with a constant deceleration of 3.5 m/s² until it stops. Find the braking distance s.

v₀ = 120 km/ha = −3.5 m/s²v = 0
s = 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. How long after the throw does it hit the ground? Find t.

v₀ = 8 m/sh₀ = 25 mg = 9.81 m/s²
t = s
6.Hard
v₀ = 15 m/s5 m

A ball is thrown straight up at 15 m/s from the edge of a roof 5 m above the ground. Ignore air resistance and use g = 9.81 m/s². Find the greatest height hmax above the ground.

v₀ = 15 m/sh₀ = 5 mg = 9.81 m/s²
hmax = m

Answer key

  1. 1. v = 22.15 m/s
  2. 2. v = 42.5 m/s
  3. 3. t = 6.667 s
  4. 4. s = 158.7 m
  5. 5. t = 3.216 s
  6. 6. hmax = 16.47 m

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