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 55 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 16 m/sθ = 0°h = 55 mg = 9.81 m/s²

t = s

2.Easy

A ball is thrown horizontally at 6 m/s from the top of a 70 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 6 m/sh = 70 mg = 9.81 m/s²

v = m/s

3.Medium

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

v₀ = 26 m/sθ = 65°g = 9.81 m/s²

H = m

4.Medium

A ball is launched from level ground at 40 m/s and must land 90 m away. Ignore air resistance and use g = 9.81 m/s². Find the smaller of the two possible launch angles θ.

v₀ = 40 m/sR = 90 mg = 9.81 m/s²

θ = °

5.Hard

A ball is thrown from ground level at 32 m/s and 50° above the horizontal. It lands on the flat roof of a building 15 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 = 32 m/sθ = 50°h_roof = 15 mg = 9.81 m/s²

x = m

6.Hard

A ball is launched at 34 m/s and 70° above the horizontal from the top of a 5 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 = 34 m/sθ = 70°h = 5 mg = 9.81 m/s²

H = m

Answer key

1. t = 3.349 s
2. v = 37.54 m/s
3. H = 28.3 m
4. θ = 16.75 °
5. x = 88.11 m
6. H = 57.03 m

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