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 = 50 m

A stone is dropped from rest from a bridge 50 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 = 50 mg = 9.81 m/s²
v = m/s
2.Easy
v = ?h = 70 m

A stone is dropped from rest from a bridge 70 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 = 70 mg = 9.81 m/s²
v = m/s
3.Medium
t (s)v (m/s)t = ?16.67

A car driving at 60 km/h brakes with a constant deceleration of 7.5 m/s² until it stops. How long does braking take? Find t.

v₀ = 60 km/ha = −7.5 m/s²v = 0
t = s
4.Medium
t (s)v (m/s)5.714 s20

A car driving at 72 km/h brakes with a constant deceleration of 3.5 m/s² until it stops. Find the braking distance s.

v₀ = 72 km/ha = −3.5 m/s²v = 0
s = m
5.Hard
v₀ = 12 m/s10 m

A ball is thrown straight up at 12 m/s from the edge of a roof 10 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 = 12 m/sh₀ = 10 mg = 9.81 m/s²
t = s
6.Hard
v₀ = 10 m/s10 m

A ball is thrown straight up at 10 m/s from the edge of a roof 10 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 = 10 m/sh₀ = 10 mg = 9.81 m/s²
t = s

Answer key

  1. 1. v = 31.32 m/s
  2. 2. v = 37.06 m/s
  3. 3. t = 2.222 s
  4. 4. s = 57.14 m
  5. 5. t = 3.103 s
  6. 6. t = 2.774 s

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