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 ball is launched horizontally from the top of a 30 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 11 m/sθ = 0°h = 30 mg = 9.81 m/s²

x = m

2.Easy

A ball is thrown horizontally at 16 m/s from the top of a 50 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 16 m/sh = 50 mg = 9.81 m/s²

v = m/s

3.Medium

A ball is launched from level ground at 30 m/s and must land 50 m away. Ignore air resistance and use g = 9.81 m/s². Find the smaller of the two possible launch angles θ.

v₀ = 30 m/sR = 50 mg = 9.81 m/s²

θ = °

4.Medium

A ball is launched at 55° above horizontal from level ground. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 14 m/sθ = 55°g = 9.81 m/s²

x = m

5.Hard

A ball is launched at 35° above horizontal from the top of a 25 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 33 m/sθ = 35°h = 25 mg = 9.81 m/s²

t = s

6.Hard

A ball is launched at 60° above horizontal from the top of a 10 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 32 m/sθ = 60°h = 10 mg = 9.81 m/s²

x = m

Answer key

1. x = 27.2 m
2. v = 35.17 m/s
3. θ = 16.51 °
4. x = 18.77 m
5. t = 4.899 s
6. x = 95.84 m

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