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

v₀ = 20 m/sθ = 0°h = 65 mg = 9.81 m/s²

t = s

2.Easy

A stone is thrown horizontally from the top of a 10 m high wall and lands 22 m from the foot of the wall. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

h = 10 mx = 22 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 time of flight t until the ball hits the ground.

v₀ = 38 m/sθ = 35°g = 9.81 m/s²

t = s

4.Medium

A ball is launched from level ground at 30 m/s and must land 75 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 = 75 mg = 9.81 m/s²

θ = °

5.Hard

A ball is launched at 32 m/s and 20° above the horizontal from the top of a 30 m cliff. Ignore air resistance and use g = 9.81 m/s². At what angle α below the horizontal does it hit the ground?

v₀ = 32 m/sθ = 20°h = 30 mg = 9.81 m/s²

α = °

6.Hard

A ball is launched at 15° above horizontal from the top of a 15 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 28 m/sθ = 15°h = 15 mg = 9.81 m/s²

t = s

Answer key

1. t = 3.64 s
2. v₀ = 15.41 m/s
3. t = 4.444 s
4. θ = 27.42 °
5. α = 41.51 °
6. t = 2.637 s

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