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 40 m high wall and lands 44 m from the foot of the wall. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

h = 40 mx = 44 mg = 9.81 m/s²

v₀ = m/s

2.Easy

A ball is launched horizontally from the top of a 65 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 17 m/sθ = 0°h = 65 mg = 9.81 m/s²

x = m

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 = 16 m/sθ = 40°g = 9.81 m/s²

x = m

4.Medium

A ball is launched from level ground at 30 m/s and must land 30 m away. Ignore air resistance and use g = 9.81 m/s². Find the smaller of the two possible launch angles θ.

v₀ = 30 m/sR = 30 mg = 9.81 m/s²

θ = °

5.Hard

A ball is launched at 15 m/s and 45° above the horizontal from the top of a 40 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 = 15 m/sθ = 45°h = 40 mg = 9.81 m/s²

H = m

6.Hard

A ball is launched at 30° above horizontal from the top of a 45 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 23 m/sθ = 30°h = 45 mg = 9.81 m/s²

x = m

Answer key

1. v₀ = 15.41 m/s
2. x = 61.89 m
3. x = 25.7 m
4. θ = 9.543 °
5. H = 45.73 m
6. x = 88.04 m

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