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 kicked from level ground at 24 m/s and 50° above the horizontal. Ignore air resistance and use g = 9.81 m/s². How long t after the kick does it reach its highest point?

v₀ = 24 m/sθ = 50°g = 9.81 m/s²

t = s

2.Easy

A ball is thrown horizontally at 23 m/s from the top of a 30 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 23 m/sh = 30 mg = 9.81 m/s²

v = m/s

3.Medium

A ball is launched at 70° above horizontal from level ground. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 20 m/sθ = 70°g = 9.81 m/s²

x = m

4.Medium

A ball is launched from level ground at 55° above the horizontal and lands 95 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

θ = 55°R = 95 mg = 9.81 m/s²

v₀ = m/s

5.Hard

A ball is launched at 18 m/s and 25° above the horizontal from the top of a 15 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 18 m/sθ = 25°h = 15 mg = 9.81 m/s²

v = m/s

6.Hard

A ball is thrown from ground level at 23 m/s and 60° above the horizontal. It lands on the flat roof of a building 11 m high, on its way down. Ignore air resistance and use g = 9.81 m/s². Find the horizontal distance x from the launch point to where it lands.

v₀ = 23 m/sθ = 60°h_roof = 11 mg = 9.81 m/s²

x = m

Answer key

1. t = 1.874 s
2. v = 33.43 m/s
3. x = 26.21 m
4. v₀ = 31.49 m/s
5. v = 24.87 m/s
6. x = 39.12 m

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