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 an 80 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 = 80 mx = 8 mg = 9.81 m/s²

v₀ = m/s

2.Easy

A stone is thrown horizontally from the top of a 10 m high wall and lands 41 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 = 41 mg = 9.81 m/s²

v₀ = m/s

3.Medium

A ball is launched at 40° above horizontal from level ground. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 40 m/sθ = 40°g = 9.81 m/s²

x = m

4.Medium

A ball is launched from level ground at 34 m/s and must land 105 m away. Ignore air resistance and use g = 9.81 m/s². Find the smaller of the two possible launch angles θ.

v₀ = 34 m/sR = 105 mg = 9.81 m/s²

θ = °

5.Hard

A ball is launched at 50° 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 = 33 m/sθ = 50°h = 5 mg = 9.81 m/s²

t = s

6.Hard

A ball is launched at 24 m/s and 45° above the horizontal from the top of a 60 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 24 m/sθ = 45°h = 60 mg = 9.81 m/s²

v = m/s

Answer key

1. v₀ = 1.981 m/s
2. v₀ = 28.71 m/s
3. x = 160.6 m
4. θ = 31.5 °
5. t = 5.345 s
6. v = 41.87 m/s

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