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

v₀ = 11 m/sθ = 0°h = 25 mg = 9.81 m/s²

t = s

2.Easy

A ball is launched horizontally from the top of a 5 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 9 m/sθ = 0°h = 5 mg = 9.81 m/s²

t = s

3.Medium

A ball is launched from level ground at 28 m/s and must land 30 m away. Ignore air resistance and use g = 9.81 m/s². Find the smaller of the two possible launch angles θ.

v₀ = 28 m/sR = 30 mg = 9.81 m/s²

θ = °

4.Medium

A ball is launched at 60° above horizontal from level ground. Ignore air resistance. Find the maximum height H the ball reaches.

v₀ = 28 m/sθ = 60°g = 9.81 m/s²

H = m

5.Hard

A ball is launched at 28 m/s and 35° above the horizontal from the top of a 45 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 = 35°h = 45 mg = 9.81 m/s²

H = m

6.Hard

A ball is launched at 15° above horizontal from the top of a 50 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 29 m/sθ = 15°h = 50 mg = 9.81 m/s²

t = s

Answer key

1. t = 2.258 s
2. t = 1.01 s
3. θ = 11.02 °
4. H = 29.97 m
5. H = 58.15 m
6. t = 4.048 s

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