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

v₀ = 19 m/sθ = 0°h = 45 mg = 9.81 m/s²

t = s

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 = 19 m/sθ = 0°h = 15 mg = 9.81 m/s²

t = s

3.Medium

A ball is launched from level ground at 40 m/s and must land 105 m away. Ignore air resistance and use g = 9.81 m/s². Find the smaller of the two possible launch angles θ.

v₀ = 40 m/sR = 105 mg = 9.81 m/s²

θ = °

4.Medium

A ball is launched at 60° above horizontal from level ground. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 34 m/sθ = 60°g = 9.81 m/s²

x = m

5.Hard

A ball is launched at 35 m/s and 50° 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 = 35 m/sθ = 50°h = 45 mg = 9.81 m/s²

H = m

6.Hard

A ball is launched at 45° above horizontal from the top of a 30 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 26 m/sθ = 45°h = 30 mg = 9.81 m/s²

t = s

Answer key

1. t = 3.029 s
2. t = 1.749 s
3. θ = 20.04 °
4. x = 102.1 m
5. H = 81.64 m
6. t = 4.977 s

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