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 stone is thrown horizontally from the top of a 75 m high wall and lands 23 m from the foot of the wall. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

h = 75 mx = 23 mg = 9.81 m/s²

v₀ = m/s

2.Easy

A ball is launched horizontally from the top of a 35 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 21 m/sθ = 0°h = 35 mg = 9.81 m/s²

x = m

3.Medium

A ball is launched at 70° above horizontal from level ground. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 10 m/sθ = 70°g = 9.81 m/s²

t = s

4.Medium

A ball is launched at 20° above horizontal from level ground. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 20 m/sθ = 20°g = 9.81 m/s²

x = m

5.Hard

A ball is launched at 20° above horizontal from the top of a 15 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 16 m/sθ = 20°h = 15 mg = 9.81 m/s²

t = s

6.Hard

A ball is launched at 15° above horizontal from the top of a 20 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 24 m/sθ = 15°h = 20 mg = 9.81 m/s²

x = m

Answer key

1. v₀ = 5.882 m/s
2. x = 56.1 m
3. t = 1.916 s
4. x = 26.21 m
5. t = 2.393 s
6. x = 63.74 m

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