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 65 m high wall and lands 28 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 = 28 mg = 9.81 m/s²

v₀ = m/s

2.Easy

A ball is launched horizontally from the top of a 50 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 16 m/sθ = 0°h = 50 mg = 9.81 m/s²

x = m

3.Medium

A ball is launched from level ground at 70° above the horizontal and lands 25 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

θ = 70°R = 25 mg = 9.81 m/s²

v₀ = m/s

4.Medium

A ball is launched from level ground at 32 m/s and must land 70 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 = 70 mg = 9.81 m/s²

θ = °

5.Hard

A ball is launched at 35° above horizontal from the top of a 55 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 19 m/sθ = 35°h = 55 mg = 9.81 m/s²

t = s

6.Hard

A ball is launched at 21 m/s and 45° above the horizontal from the top of a 20 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 = 21 m/sθ = 45°h = 20 mg = 9.81 m/s²

H = m

Answer key

1. v₀ = 7.692 m/s
2. x = 51.08 m
3. v₀ = 19.53 m/s
4. θ = 21.06 °
5. t = 4.639 s
6. H = 31.24 m

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