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
h = 20 mv0​ = 13 m/sv = ?

A ball is thrown horizontally at 13 m/s from the top of a 20 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 13 m/sh = 20 mg = 9.81 m/s²
v = m/s
2.Easy
h = 15 mv0​ = 11 m/sx = ?

A ball is launched horizontally from the top of a 15 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v0 = 11 m/sθ = 0°h = 15 mg = 9.81 m/s²
x = m
3.Medium
v0​ = ?50°R = 10 m

A ball is launched from level ground at 50° above the horizontal and lands 10 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v0.

θ = 50°R = 10 mg = 9.81 m/s²
v0 = m/s
4.Medium
62 my = ?v0​ = 32 m/s50°

A ball is kicked from level ground at 32 m/s and 50° above the horizontal towards a wall 62 m away. Ignore air resistance and use g = 9.81 m/s². At what height y does the ball pass the wall?

v₀ = 32 m/sθ = 50°x = 62 mg = 9.81 m/s²
y = m
5.Hard
h = 10 mv0​ = 22 m/s50°x = ?

A ball is launched at 50° above horizontal from the top of a 10 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v0 = 22 m/sθ = 50°h = 10 mg = 9.81 m/s²
x = m
6.Hard
20 mv0​ = 40 m/s45°x = ?

A ball is thrown from ground level at 40 m/s and 45° above the horizontal. It lands on the flat roof of a building 20 m high, on its way down. Ignore air resistance and use g = 9.81 m/s². Find the horizontal distance x from the launch point to where it lands.

v₀ = 40 m/sθ = 45°hroof = 20 mg = 9.81 m/s²
x = m

Answer key

  1. 1. v = 23.69 m/s
  2. 2. x = 19.24 m
  3. 3. v0 = 9.981 m/s
  4. 4. y = 29.32 m
  5. 5. x = 55.88 m
  6. 6. x = 139.8 m

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