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 70 m high wall and lands 8 m from the foot of the wall. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

h = 70 mx = 8 mg = 9.81 m/s²

v₀ = m/s

2.Easy

A stone is thrown horizontally from the top of a 5 m high wall and lands 60 m from the foot of the wall. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

h = 5 mx = 60 mg = 9.81 m/s²

v₀ = m/s

3.Medium

A ball is launched at 35° above horizontal from level ground. Ignore air resistance. Find the maximum height H the ball reaches.

v₀ = 38 m/sθ = 35°g = 9.81 m/s²

H = m

4.Medium

A ball is launched from level ground at 26 m/s and must land 40 m away. Ignore air resistance and use g = 9.81 m/s². Find the smaller of the two possible launch angles θ.

v₀ = 26 m/sR = 40 mg = 9.81 m/s²

θ = °

5.Hard

A ball is launched at 40° 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 = 18 m/sθ = 40°h = 5 mg = 9.81 m/s²

t = s

6.Hard

A ball is launched at 60° above horizontal from the top of a 55 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 20 m/sθ = 60°h = 55 mg = 9.81 m/s²

t = s

Answer key

1. v₀ = 2.118 m/s
2. v₀ = 59.43 m/s
3. H = 24.21 m
4. θ = 17.74 °
5. t = 2.732 s
6. t = 5.551 s

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