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 25 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 16 m/sθ = 0°h = 25 mg = 9.81 m/s²

x = m

2.Easy

A ball is thrown horizontally at 6 m/s from the top of a 35 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 6 m/sh = 35 mg = 9.81 m/s²

v = m/s

3.Medium

A ball is launched from level ground at 45° above the horizontal and lands 35 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

θ = 45°R = 35 mg = 9.81 m/s²

v₀ = m/s

4.Medium

A ball is launched at 45° above horizontal from level ground. Ignore air resistance. Find the maximum height H the ball reaches.

v₀ = 16 m/sθ = 45°g = 9.81 m/s²

H = m

5.Hard

A ball is launched at 35 m/s and 20° above the horizontal from the top of a 35 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the greatest height H above the ground at the foot of the cliff.

v₀ = 35 m/sθ = 20°h = 35 mg = 9.81 m/s²

H = m

6.Hard

A ball is thrown from ground level at 27 m/s and 70° above the horizontal. It lands on the flat roof of a building 21 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 = 27 m/sθ = 70°h_roof = 21 mg = 9.81 m/s²

x = m

Answer key

1. x = 36.12 m
2. v = 26.88 m/s
3. v₀ = 18.53 m/s
4. H = 6.524 m
5. H = 42.3 m
6. x = 38.21 m

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