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 = 9 m/sθ = 0°h = 25 mg = 9.81 m/s²

t = s

2.Easy

A ball is launched horizontally from the top of a 70 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 15 m/sθ = 0°h = 70 mg = 9.81 m/s²

t = s

3.Medium

A ball is launched at 25° above horizontal from level ground. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 18 m/sθ = 25°g = 9.81 m/s²

t = s

4.Medium

A ball is launched from level ground at 38 m/s and must land 135 m away. Ignore air resistance and use g = 9.81 m/s². Find the smaller of the two possible launch angles θ.

v₀ = 38 m/sR = 135 mg = 9.81 m/s²

θ = °

5.Hard

A ball is launched at 45° above horizontal from the top of a 5 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 26 m/sθ = 45°h = 5 mg = 9.81 m/s²

t = s

6.Hard

A ball is launched at 27 m/s and 30° 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 = 27 m/sθ = 30°h = 20 mg = 9.81 m/s²

H = m

Answer key

1. t = 2.258 s
2. t = 3.778 s
3. t = 1.551 s
4. θ = 33.26 °
5. t = 4.003 s
6. H = 29.29 m

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