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 kicked from level ground at 22 m/s and 45° 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 = 45°g = 9.81 m/s²

t = s

2.Easy

A stone is thrown horizontally from the top of a 45 m high wall and lands 23 m from the foot of the wall. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

h = 45 mx = 23 mg = 9.81 m/s²

v₀ = m/s

3.Medium

A ball is launched at 65° above horizontal from level ground. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 30 m/sθ = 65°g = 9.81 m/s²

t = s

4.Medium

A ball is launched from level ground at 32 m/s and must land 50 m away. Ignore air resistance and use g = 9.81 m/s². Find the smaller of the two possible launch angles θ.

v₀ = 32 m/sR = 50 mg = 9.81 m/s²

θ = °

5.Hard

A ball is launched at 20° above horizontal from the top of a 20 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

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

x = m

6.Hard

A ball is launched at 15° above horizontal from the top of a 20 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 29 m/sθ = 15°h = 20 mg = 9.81 m/s²

t = s

Answer key

1. t = 1.586 s
2. v₀ = 7.593 m/s
3. t = 5.543 s
4. θ = 14.31 °
5. x = 53.25 m
6. t = 2.924 s

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