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 35 m high wall and lands 5 m from the foot of the wall. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

h = 35 mx = 5 mg = 9.81 m/s²

v₀ = m/s

2.Easy

A ball is thrown horizontally at 15 m/s from the top of a 10 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 15 m/sh = 10 mg = 9.81 m/s²

v = m/s

3.Medium

A ball is launched at 60° above horizontal from level ground. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 28 m/sθ = 60°g = 9.81 m/s²

t = s

4.Medium

A ball is launched from level ground at 32 m/s and must land 40 m away. Ignore air resistance and use g = 9.81 m/s². Find the smaller of the two possible launch angles θ.

v₀ = 32 m/sR = 40 mg = 9.81 m/s²

θ = °

5.Hard

A ball is launched at 15° above horizontal from the top of a 10 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 14 m/sθ = 15°h = 10 mg = 9.81 m/s²

t = s

6.Hard

A ball is launched at 32 m/s and 70° 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 = 32 m/sθ = 70°h = 40 mg = 9.81 m/s²

H = m

Answer key

1. v₀ = 1.872 m/s
2. v = 20.52 m/s
3. t = 4.944 s
4. θ = 11.27 °
5. t = 1.844 s
6. H = 86.09 m

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