Projectile motion worksheet with answers

Free printable Projectile motion 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

A stone is thrown horizontally from the top of a 15 m high wall and lands 40 m from the foot of the wall. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

h = 15 mx = 40 mg = 9.81 m/s²

v₀ = m/s

2.Easy

A ball is launched horizontally from the top of a 50 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 8 m/sθ = 0°h = 50 mg = 9.81 m/s²

x = m

3.Medium

A ball is launched from level ground at 60° above the horizontal and lands 35 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

θ = 60°R = 35 mg = 9.81 m/s²

v₀ = m/s

4.Medium

A ball is launched at 40° above horizontal from level ground. Ignore air resistance. Find the maximum height H the ball reaches.

v₀ = 18 m/sθ = 40°g = 9.81 m/s²

H = m

5.Hard

A ball is launched at 12 m/s and 45° above the horizontal from the top of a 45 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the greatest height H above the ground at the foot of the cliff.

v₀ = 12 m/sθ = 45°h = 45 mg = 9.81 m/s²

H = m

6.Hard

A ball is launched at 50° above horizontal from the top of a 5 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 34 m/sθ = 50°h = 5 mg = 9.81 m/s²

x = m

Answer key

1. v₀ = 22.87 m/s
2. x = 25.54 m
3. v₀ = 19.91 m/s
4. H = 6.823 m
5. H = 48.67 m
6. x = 120.1 m

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