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 22 m/s and 35° 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 = 22 m/sθ = 35°g = 9.81 m/s²

t = s

2.Easy

A ball is launched horizontally from the top of a 30 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 10 m/sθ = 0°h = 30 mg = 9.81 m/s²

t = s

3.Medium

A ball is launched at 50° above horizontal from level ground. Ignore air resistance. Find the maximum height H the ball reaches.

v₀ = 20 m/sθ = 50°g = 9.81 m/s²

H = m

4.Medium

A ball is kicked from level ground at 34 m/s and 45° above the horizontal towards a wall 71 m away. Ignore air resistance and use g = 9.81 m/s². At what height y does the ball pass the wall?

v₀ = 34 m/sθ = 45°x = 71 mg = 9.81 m/s²

y = m

5.Hard

A ball is launched at 29 m/s and 30° above the horizontal from the top of a 35 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 29 m/sθ = 30°h = 35 mg = 9.81 m/s²

v = m/s

6.Hard

A ball is launched at 50° 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 = 24 m/sθ = 50°h = 55 mg = 9.81 m/s²

t = s

Answer key

1. t = 1.286 s
2. t = 2.473 s
3. H = 11.96 m
4. y = 28.22 m
5. v = 39.09 m/s
6. t = 5.711 s

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