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 launched horizontally from the top of a 20 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 12 m/sθ = 0°h = 20 mg = 9.81 m/s²

t = s

2.Easy

A stone is thrown horizontally from the top of a 65 m high wall and lands 8 m from the foot of the wall. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

h = 65 mx = 8 mg = 9.81 m/s²

v₀ = m/s

3.Medium

A ball is launched at 65° above horizontal from level ground. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 10 m/sθ = 65°g = 9.81 m/s²

t = s

4.Medium

A ball is kicked from level ground at 20 m/s and 60° above the horizontal towards a wall 14 m away. Ignore air resistance and use g = 9.81 m/s². At what height y does the ball pass the wall?

v₀ = 20 m/sθ = 60°x = 14 mg = 9.81 m/s²

y = m

5.Hard

A ball is launched at 18 m/s and 65° above the horizontal from the top of a 35 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 = 18 m/sθ = 65°h = 35 mg = 9.81 m/s²

H = m

6.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 = 29 m/sθ = 40°h = 50 mg = 9.81 m/s²

t = s

Answer key

1. t = 2.019 s
2. v₀ = 2.198 m/s
3. t = 1.848 s
4. y = 14.63 m
5. H = 48.56 m
6. t = 5.616 s

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