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

v₀ = 15 m/sθ = 0°h = 50 mg = 9.81 m/s²

t = s

2.Easy

A stone is thrown horizontally from the top of a 35 m high wall and lands 18 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 = 18 mg = 9.81 m/s²

v₀ = m/s

3.Medium

A ball is launched at 30° above horizontal from level ground. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 40 m/sθ = 30°g = 9.81 m/s²

x = m

4.Medium

A ball is launched from level ground at 18 m/s and must land 25 m away. Ignore air resistance and use g = 9.81 m/s². Find the smaller of the two possible launch angles θ.

v₀ = 18 m/sR = 25 mg = 9.81 m/s²

θ = °

5.Hard

A ball is launched at 20° above horizontal from the top of a 15 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 35 m/sθ = 20°h = 15 mg = 9.81 m/s²

x = m

6.Hard

A ball is launched at 14 m/s and 40° above the horizontal from the top of a 10 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 = 14 m/sθ = 40°h = 10 mg = 9.81 m/s²

H = m

Answer key

1. t = 3.193 s
2. v₀ = 6.738 m/s
3. x = 141.2 m
4. θ = 24.6 °
5. x = 110.3 m
6. H = 14.13 m

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