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 26 m/s and 45° 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 = 26 m/sθ = 45°g = 9.81 m/s²

t = s

2.Easy

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

v₀ = 16 m/sθ = 0°h = 60 mg = 9.81 m/s²

x = m

3.Medium

A ball is launched from level ground at 22 m/s and must land 40 m away. Ignore air resistance and use g = 9.81 m/s². Find the smaller of the two possible launch angles θ.

v₀ = 22 m/sR = 40 mg = 9.81 m/s²

θ = °

4.Medium

A ball is launched at 45° above horizontal from level ground. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 14 m/sθ = 45°g = 9.81 m/s²

t = s

5.Hard

A ball is launched at 45° above horizontal from the top of a 45 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 15 m/sθ = 45°h = 45 mg = 9.81 m/s²

x = m

6.Hard

A ball is thrown from ground level at 40 m/s and 65° above the horizontal. It lands on the flat roof of a building 26 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 = 40 m/sθ = 65°h_roof = 26 mg = 9.81 m/s²

x = m

Answer key

1. t = 1.874 s
2. x = 55.96 m
3. θ = 27.08 °
4. t = 2.018 s
5. x = 45.58 m
6. x = 111.3 m

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