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 stone is thrown horizontally from the top of a 50 m high wall and lands 32 m from the foot of the wall. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

h = 50 mx = 32 mg = 9.81 m/s²

v₀ = m/s

2.Easy

A ball is kicked from level ground at 24 m/s and 20° 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 = 24 m/sθ = 20°g = 9.81 m/s²

t = s

3.Medium

A ball is kicked from level ground at 18 m/s and 30° above the horizontal towards a wall 9 m away. Ignore air resistance and use g = 9.81 m/s². At what height y does the ball pass the wall?

v₀ = 18 m/sθ = 30°x = 9 mg = 9.81 m/s²

y = m

4.Medium

A ball is launched at 20° above horizontal from level ground. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 34 m/sθ = 20°g = 9.81 m/s²

t = s

5.Hard

A ball is launched at 25 m/s and 45° above the horizontal from the top of a 50 m cliff. Ignore air resistance and use g = 9.81 m/s². At what angle α below the horizontal does it hit the ground?

v₀ = 25 m/sθ = 45°h = 50 mg = 9.81 m/s²

α = °

6.Hard

A ball is launched at 25° above horizontal from the top of a 5 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 29 m/sθ = 25°h = 5 mg = 9.81 m/s²

t = s

Answer key

1. v₀ = 10.02 m/s
2. t = 0.8367 s
3. y = 3.561 m
4. t = 2.371 s
5. α = 63.82 °
6. t = 2.856 s

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