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 75 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 5 m/sθ = 0°h = 75 mg = 9.81 m/s²

x = m

2.Easy

A ball is launched horizontally from the top of a 15 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 9 m/sθ = 0°h = 15 mg = 9.81 m/s²

t = s

3.Medium

A ball is launched from level ground at 32 m/s and must land 95 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 = 95 mg = 9.81 m/s²

θ = °

4.Medium

A ball is launched from level ground at 15° above the horizontal and lands 90 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

θ = 15°R = 90 mg = 9.81 m/s²

v₀ = m/s

5.Hard

A ball is launched at 28 m/s and 40° above the horizontal from the top of a 55 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 = 28 m/sθ = 40°h = 55 mg = 9.81 m/s²

H = m

6.Hard

A ball is launched at 60° above horizontal from the top of a 20 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 29 m/sθ = 60°h = 20 mg = 9.81 m/s²

t = s

Answer key

1. x = 19.55 m
2. t = 1.749 s
3. θ = 32.76 °
4. v₀ = 42.02 m/s
5. H = 71.51 m
6. t = 5.821 s

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