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 = 6 m/sθ = 0°h = 25 mg = 9.81 m/s²

t = s

2.Easy

A ball is launched horizontally from the top of a 60 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 14 m/sθ = 0°h = 60 mg = 9.81 m/s²

t = s

3.Medium

A ball is launched from level ground at 30 m/s and must land 70 m away. Ignore air resistance and use g = 9.81 m/s². Find the smaller of the two possible launch angles θ.

v₀ = 30 m/sR = 70 mg = 9.81 m/s²

θ = °

4.Medium

A ball is launched at 65° above horizontal from level ground. Ignore air resistance. Find the maximum height H the ball reaches.

v₀ = 12 m/sθ = 65°g = 9.81 m/s²

H = m

5.Hard

A ball is launched at 26 m/s and 50° 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 = 26 m/sθ = 50°h = 55 mg = 9.81 m/s²

H = m

6.Hard

A ball is thrown from ground level at 31 m/s and 30° above the horizontal. It lands on the flat roof of a building 2 m high, on its way down. Ignore air resistance and use g = 9.81 m/s². Find the horizontal distance x from the launch point to where it lands.

v₀ = 31 m/sθ = 30°h_roof = 2 mg = 9.81 m/s²

x = m

Answer key

1. t = 2.258 s
2. t = 3.497 s
3. θ = 24.86 °
4. H = 6.029 m
5. H = 75.22 m
6. x = 81.22 m

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