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 10 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 23 m/sθ = 0°h = 10 mg = 9.81 m/s²

t = s

2.Easy

A ball is kicked from level ground at 16 m/s and 65° 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 = 16 m/sθ = 65°g = 9.81 m/s²

t = s

3.Medium

A ball is launched from level ground at 60° above the horizontal and lands 95 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

θ = 60°R = 95 mg = 9.81 m/s²

v₀ = m/s

4.Medium

A ball is launched from level ground at 26 m/s and must land 35 m away. Ignore air resistance and use g = 9.81 m/s². Find the smaller of the two possible launch angles θ.

v₀ = 26 m/sR = 35 mg = 9.81 m/s²

θ = °

5.Hard

A ball is launched at 40° above horizontal from the top of a 55 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 29 m/sθ = 40°h = 55 mg = 9.81 m/s²

x = m

6.Hard

A ball is thrown from ground level at 40 m/s and 60° above the horizontal. It lands on the flat roof of a building 22 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 = 60°h_roof = 22 mg = 9.81 m/s²

x = m

Answer key

1. t = 1.428 s
2. t = 1.478 s
3. v₀ = 32.8 m/s
4. θ = 15.26 °
5. x = 127.7 m
6. x = 127.1 m

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