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 25 m/s from the top of a 65 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 25 m/sh = 65 mg = 9.81 m/s²

v = m/s

2.Easy

A ball is launched horizontally from the top of a 30 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 9 m/sθ = 0°h = 30 mg = 9.81 m/s²

t = s

3.Medium

A ball is launched at 45° above horizontal from level ground. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 30 m/sθ = 45°g = 9.81 m/s²

t = s

4.Medium

A ball is launched from level ground at 20° above the horizontal and lands 70 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

θ = 20°R = 70 mg = 9.81 m/s²

v₀ = m/s

5.Hard

A ball is launched at 11 m/s and 45° above the horizontal 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 = 11 m/sθ = 45°h = 35 mg = 9.81 m/s²

v = m/s

6.Hard

A ball is thrown from ground level at 39 m/s and 65° above the horizontal. It lands on the flat roof of a building 28 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 = 65°h_roof = 28 mg = 9.81 m/s²

x = m

Answer key

1. v = 43.59 m/s
2. t = 2.473 s
3. t = 4.325 s
4. v₀ = 32.69 m/s
5. v = 28.42 m/s
6. x = 103.8 m

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