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

v₀ = 10 m/sθ = 0°h = 65 mg = 9.81 m/s²

t = s

2.Easy

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

v₀ = 5 m/sθ = 0°h = 60 mg = 9.81 m/s²

x = m

3.Medium

A ball is launched at 35° above horizontal from level ground. Ignore air resistance. Find the maximum height H the ball reaches.

v₀ = 26 m/sθ = 35°g = 9.81 m/s²

H = m

4.Medium

A ball is launched from level ground at 40 m/s and must land 130 m away. Ignore air resistance and use g = 9.81 m/s². Find the smaller of the two possible launch angles θ.

v₀ = 40 m/sR = 130 mg = 9.81 m/s²

θ = °

5.Hard

A ball is thrown from ground level at 39 m/s and 40° above the horizontal. It lands on the flat roof of a building 2 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 = 39 m/sθ = 40°h_roof = 2 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 horizontal distance x travelled before the ball hits the ground.

v₀ = 11 m/sθ = 45°h = 60 mg = 9.81 m/s²

x = m

Answer key

1. t = 3.64 s
2. x = 17.49 m
3. H = 11.34 m
4. θ = 26.43 °
5. x = 150.3 m
6. x = 34.06 m

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