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 45 m high wall and lands 16 m from the foot of the wall. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

h = 45 mx = 16 mg = 9.81 m/s²

v₀ = m/s

2.Easy

A ball is kicked from level ground at 30 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 = 30 m/sθ = 20°g = 9.81 m/s²

t = s

3.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 = 30 m/sθ = 50°g = 9.81 m/s²

t = s

4.Medium

A ball is launched at 20° above horizontal from level ground. Ignore air resistance. Find the maximum height H the ball reaches.

v₀ = 14 m/sθ = 20°g = 9.81 m/s²

H = m

5.Hard

A ball is launched at 11 m/s and 15° above the horizontal from the top of a 15 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 = 11 m/sθ = 15°h = 15 mg = 9.81 m/s²

α = °

6.Hard

A ball is thrown from ground level at 36 m/s and 40° above the horizontal. It lands on the flat roof of a building 8 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 = 36 m/sθ = 40°h_roof = 8 mg = 9.81 m/s²

x = m

Answer key

1. v₀ = 5.282 m/s
2. t = 1.046 s
3. t = 4.685 s
4. H = 1.169 m
5. α = 58.58 °
6. x = 119.7 m

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