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 = 6 m/sθ = 0°h = 65 mg = 9.81 m/s²

t = s

2.Easy

A stone is thrown horizontally from the top of an 80 m high wall and lands 18 m from the foot of the wall. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

h = 80 mx = 18 mg = 9.81 m/s²

v₀ = m/s

3.Medium

A ball is launched from level ground at 70° above the horizontal and lands 110 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

θ = 70°R = 110 mg = 9.81 m/s²

v₀ = m/s

4.Medium

A ball is kicked from level ground at 30 m/s and 40° above the horizontal towards a wall 18 m away. Ignore air resistance and use g = 9.81 m/s². At what height y does the ball pass the wall?

v₀ = 30 m/sθ = 40°x = 18 mg = 9.81 m/s²

y = m

5.Hard

A ball is launched at 35° above horizontal from the top of a 50 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 19 m/sθ = 35°h = 50 mg = 9.81 m/s²

t = s

6.Hard

A ball is launched at 50° above horizontal from the top of a 5 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 15 m/sθ = 50°h = 5 mg = 9.81 m/s²

x = m

Answer key

1. t = 3.64 s
2. v₀ = 4.457 m/s
3. v₀ = 40.97 m/s
4. y = 12.09 m
5. t = 4.491 s
6. x = 26.2 m

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