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 50 m high wall and lands 46 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 = 46 mg = 9.81 m/s²

v₀ = m/s

2.Easy

A ball is launched horizontally from the top of a 10 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 12 m/sθ = 0°h = 10 mg = 9.81 m/s²

t = s

3.Medium

A ball is launched at 40° above horizontal from level ground. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 22 m/sθ = 40°g = 9.81 m/s²

x = m

4.Medium

A ball is launched at 30° above horizontal from level ground. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 40 m/sθ = 30°g = 9.81 m/s²

x = m

5.Hard

A ball is thrown from ground level at 40 m/s and 65° above the horizontal. It lands on the flat roof of a building 4 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 = 40 m/sθ = 65°h_roof = 4 mg = 9.81 m/s²

x = m

6.Hard

A ball is launched at 55° above horizontal from the top of a 60 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 16 m/sθ = 55°h = 60 mg = 9.81 m/s²

x = m

Answer key

1. v₀ = 14.41 m/s
2. t = 1.428 s
3. x = 48.59 m
4. x = 141.2 m
5. x = 123 m
6. x = 46.62 m

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