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 thrown horizontally at 19 m/s from the top of a 60 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 19 m/sh = 60 mg = 9.81 m/s²

v = m/s

2.Easy

A ball is launched horizontally from the top of a 5 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 7 m/sθ = 0°h = 5 mg = 9.81 m/s²

t = s

3.Medium

A ball is launched from level ground at 25° above the horizontal and lands 95 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

θ = 25°R = 95 mg = 9.81 m/s²

v₀ = m/s

4.Medium

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

v₀ = 20 m/sθ = 35°g = 9.81 m/s²

H = m

5.Hard

A ball is launched at 31 m/s and 60° above the horizontal from the top of a 60 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 = 31 m/sθ = 60°h = 60 mg = 9.81 m/s²

H = m

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 = 25 m/sθ = 25°h = 5 mg = 9.81 m/s²

t = s

Answer key

1. v = 39.22 m/s
2. t = 1.01 s
3. v₀ = 34.88 m/s
4. H = 6.707 m
5. H = 96.74 m
6. t = 2.553 s

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