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 stone is thrown horizontally from the top of a 75 m high wall and lands 56 m from the foot of the wall. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

h = 75 mx = 56 mg = 9.81 m/s²

v₀ = m/s

2.Easy

A ball is kicked from level ground at 22 m/s and 50° above the horizontal. Ignore air resistance and use g = 9.81 m/s². How long t after the kick does it reach its highest point?

v₀ = 22 m/sθ = 50°g = 9.81 m/s²

t = s

3.Medium

A ball is launched from level ground at 24 m/s and must land 45 m away. Ignore air resistance and use g = 9.81 m/s². Find the smaller of the two possible launch angles θ.

v₀ = 24 m/sR = 45 mg = 9.81 m/s²

θ = °

4.Medium

A ball is launched at 30° above horizontal from level ground. Ignore air resistance. Find the maximum height H the ball reaches.

v₀ = 40 m/sθ = 30°g = 9.81 m/s²

H = m

5.Hard

A ball is launched at 15° above horizontal from the top of a 25 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 19 m/sθ = 15°h = 25 mg = 9.81 m/s²

x = m

6.Hard

A ball is launched at 23 m/s and 70° above the horizontal from the top of a 15 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 = 23 m/sθ = 70°h = 15 mg = 9.81 m/s²

H = m

Answer key

1. v₀ = 14.32 m/s
2. t = 1.718 s
3. θ = 25.02 °
4. H = 20.39 m
5. x = 51.64 m
6. H = 38.81 m

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