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

v₀ = 13 m/sθ = 0°h = 40 mg = 9.81 m/s²

t = s

2.Easy

A ball is launched horizontally from the top of a 70 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 18 m/sθ = 0°h = 70 mg = 9.81 m/s²

x = m

3.Medium

A ball is kicked from level ground at 20 m/s and 45° above the horizontal towards a wall 12 m away. Ignore air resistance and use g = 9.81 m/s². At what height y does the ball pass the wall?

v₀ = 20 m/sθ = 45°x = 12 mg = 9.81 m/s²

y = m

4.Medium

A ball is launched at 60° above horizontal from level ground. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 28 m/sθ = 60°g = 9.81 m/s²

t = s

5.Hard

A ball is thrown from ground level at 30 m/s and 55° above the horizontal. It lands on the flat roof of a building 18 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 = 30 m/sθ = 55°h_roof = 18 mg = 9.81 m/s²

x = m

6.Hard

A ball is launched at 50° above horizontal from the top of a 60 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 10 m/sθ = 50°h = 60 mg = 9.81 m/s²

x = m

Answer key

1. t = 2.856 s
2. x = 68 m
3. y = 8.468 m
4. t = 4.944 s
5. x = 70.88 m
6. x = 28.05 m

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