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 32 m/s and 60° 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 = 32 m/sθ = 60°g = 9.81 m/s²

t = s

2.Easy

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

v₀ = 24 m/sθ = 0°h = 55 mg = 9.81 m/s²

x = m

3.Medium

A ball is launched from level ground at 24 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 = 24 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 maximum height H the ball reaches.

v₀ = 26 m/sθ = 55°g = 9.81 m/s²

H = m

5.Hard

A ball is launched at 25° above horizontal from the top of a 55 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 31 m/sθ = 25°h = 55 mg = 9.81 m/s²

t = s

6.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 = 30 m/sθ = 40°h = 55 mg = 9.81 m/s²

x = m

Answer key

1. t = 2.825 s
2. x = 80.37 m
3. θ = 29.19 °
4. H = 23.12 m
5. t = 4.941 s
6. x = 134.4 m

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