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

v₀ = 23 m/sθ = 0°h = 35 mg = 9.81 m/s²

t = s

2.Easy

A ball is launched horizontally from the top of a 70 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 6 m/sθ = 0°h = 70 mg = 9.81 m/s²

x = m

3.Medium

A ball is kicked from level ground at 18 m/s and 55° above the horizontal towards a wall 22 m away. Ignore air resistance and use g = 9.81 m/s². At what height y does the ball pass the wall?

v₀ = 18 m/sθ = 55°x = 22 mg = 9.81 m/s²

y = m

4.Medium

A ball is launched from level ground at 38 m/s and must land 135 m away. Ignore air resistance and use g = 9.81 m/s². Find the smaller of the two possible launch angles θ.

v₀ = 38 m/sR = 135 mg = 9.81 m/s²

θ = °

5.Hard

A ball is launched at 25° above horizontal from the top of a 45 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 22 m/sθ = 25°h = 45 mg = 9.81 m/s²

t = s

6.Hard

A ball is launched at 25° above horizontal from the top of a 40 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 14 m/sθ = 25°h = 40 mg = 9.81 m/s²

t = s

Answer key

1. t = 2.671 s
2. x = 22.67 m
3. y = 9.147 m
4. θ = 33.26 °
5. t = 4.121 s
6. t = 3.522 s

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