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 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 = 32 m/sθ = 35°g = 9.81 m/s²

t = s

2.Easy

A ball is launched horizontally from the top of a 50 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 23 m/sθ = 0°h = 50 mg = 9.81 m/s²

t = s

3.Medium

A ball is kicked from level ground at 22 m/s and 40° above the horizontal towards a wall 10 m away. Ignore air resistance and use g = 9.81 m/s². At what height y does the ball pass the wall?

v₀ = 22 m/sθ = 40°x = 10 mg = 9.81 m/s²

y = m

4.Medium

A ball is launched at 50° above horizontal from level ground. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 16 m/sθ = 50°g = 9.81 m/s²

t = s

5.Hard

A ball is thrown from ground level at 40 m/s and 45° above the horizontal. It lands on the flat roof of a building 20 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 = 45°h_roof = 20 mg = 9.81 m/s²

x = m

6.Hard

A ball is launched at 45° above horizontal from the top of a 60 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 23 m/sθ = 45°h = 60 mg = 9.81 m/s²

t = s

Answer key

1. t = 1.871 s
2. t = 3.193 s
3. y = 6.664 m
4. t = 2.499 s
5. x = 139.8 m
6. t = 5.528 s

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