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 = 30 mv0​ = 19 m/sx = ?

A ball is launched horizontally from the top of a 30 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v0 = 19 m/sθ = 0°h = 30 mg = 9.81 m/s²
x = m
2.Easy
h = 5 mv0​ = 15 m/sv = ?

A ball is thrown horizontally at 15 m/s from the top of a 5 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 15 m/sh = 5 mg = 9.81 m/s²
v = m/s
3.Medium
v0​ = 30 m/s25°x = ?

A ball is launched at 25° above horizontal from level ground. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v0 = 30 m/sθ = 25°g = 9.81 m/s²
x = m
4.Medium
v0​ = ?75°R = 145 m

A ball is launched from level ground at 75° above the horizontal and lands 145 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v0.

θ = 75°R = 145 mg = 9.81 m/s²
v0 = m/s
5.Hard
18 mv0​ = 35 m/s50°x = ?

A ball is thrown from ground level at 35 m/s and 50° above the horizontal. It lands on the flat roof of a building 18 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 = 35 m/sθ = 50°hroof = 18 mg = 9.81 m/s²
x = m
6.Hard
h = 45 mv0​ = 21 m/s25°x = ?

A ball is launched at 25° above horizontal from the top of a 45 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v0 = 21 m/sθ = 25°h = 45 mg = 9.81 m/s²
x = m

Answer key

  1. 1. x = 46.99 m
  2. 2. v = 17.97 m/s
  3. 3. x = 70.28 m
  4. 4. v0 = 53.34 m/s
  5. 5. x = 105.3 m
  6. 6. x = 77.38 m

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