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 20 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 = 20 mx = 40 mg = 9.81 m/s²

v₀ = m/s

2.Easy

A ball is launched horizontally from the top of a 5 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 20 m/sθ = 0°h = 5 mg = 9.81 m/s²

t = s

3.Medium

A ball is kicked from level ground at 20 m/s and 55° above the horizontal towards a wall 8 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 = 55°x = 8 mg = 9.81 m/s²

y = m

4.Medium

A ball is launched at 65° above horizontal from level ground. Ignore air resistance. Find the maximum height H the ball reaches.

v₀ = 36 m/sθ = 65°g = 9.81 m/s²

H = m

5.Hard

A ball is launched at 17 m/s and 55° above the horizontal from the top of a 50 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 = 17 m/sθ = 55°h = 50 mg = 9.81 m/s²

H = m

6.Hard

A ball is launched at 23 m/s and 40° 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 = 23 m/sθ = 40°h = 40 mg = 9.81 m/s²

H = m

Answer key

1. v₀ = 19.81 m/s
2. t = 1.01 s
3. y = 9.04 m
4. H = 54.26 m
5. H = 59.88 m
6. H = 51.14 m

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