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

h = 25 mx = 40 mg = 9.81 m/s²

v₀ = m/s

2.Easy

A stone is thrown horizontally from the top of a 45 m high wall and lands 48 m from the foot of the wall. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

h = 45 mx = 48 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 maximum height H the ball reaches.

v₀ = 20 m/sθ = 55°g = 9.81 m/s²

H = m

4.Medium

A ball is launched at 60° above horizontal from level ground. Ignore air resistance. Find the maximum height H the ball reaches.

v₀ = 22 m/sθ = 60°g = 9.81 m/s²

H = m

5.Hard

A ball is launched at 40° above horizontal from the top of a 50 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 24 m/sθ = 40°h = 50 mg = 9.81 m/s²

t = s

6.Hard

A ball is launched at 15 m/s and 20° above the horizontal from the top of a 15 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 = 20°h = 15 mg = 9.81 m/s²

H = m

Answer key

1. v₀ = 17.72 m/s
2. v₀ = 15.85 m/s
3. H = 13.68 m
4. H = 18.5 m
5. t = 5.132 s
6. H = 16.34 m

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