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 20 m/s from the top of a 45 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 20 m/sh = 45 mg = 9.81 m/s²

v = m/s

2.Easy

A stone is thrown horizontally from the top of a 50 m high wall and lands 31 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 = 31 mg = 9.81 m/s²

v₀ = m/s

3.Medium

A ball is launched at 55° above horizontal from level ground. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 34 m/sθ = 55°g = 9.81 m/s²

t = s

4.Medium

A ball is launched from level ground at 75° above the horizontal and lands 20 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

θ = 75°R = 20 mg = 9.81 m/s²

v₀ = m/s

5.Hard

A ball is thrown from ground level at 32 m/s and 60° above the horizontal. It lands on the flat roof of a building 15 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 = 32 m/sθ = 60°h_roof = 15 mg = 9.81 m/s²

x = m

6.Hard

A ball is launched at 40° 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 = 16 m/sθ = 40°h = 5 mg = 9.81 m/s²

t = s

Answer key

1. v = 35.82 m/s
2. v₀ = 9.709 m/s
3. t = 5.678 s
4. v₀ = 19.81 m/s
5. x = 80.7 m
6. t = 2.504 s

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