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 = 15 mv0​ = 23 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 = 23 m/sθ = 0°h = 15 mg = 9.81 m/s²
x = m
2.Easy
h = 75 mv0​ = 19 m/sx = ?

A ball is launched horizontally from the top of a 75 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v0 = 19 m/sθ = 0°h = 75 mg = 9.81 m/s²
x = m
3.Medium
v0​ = ?30°R = 95 m

A ball is launched from level ground at 30° above the horizontal and lands 95 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v0.

θ = 30°R = 95 mg = 9.81 m/s²
v0 = m/s
4.Medium
v0​ = 10 m/s40°x = ?

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 = 10 m/sθ = 40°g = 9.81 m/s²
x = m
5.Hard
h = 20 mv0​ = 16 m/s35°H = ?

A ball is launched at 16 m/s and 35° above the horizontal from the top of a 20 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the greatest height H above the ground at the foot of the cliff.

v₀ = 16 m/sθ = 35°h = 20 mg = 9.81 m/s²
H = m
6.Hard
11 mv0​ = 33 m/s35°x = ?

A ball is thrown from ground level at 33 m/s and 35° above the horizontal. It lands on the flat roof of a building 11 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 = 33 m/sθ = 35°hroof = 11 mg = 9.81 m/s²
x = m

Answer key

  1. 1. x = 40.22 m
  2. 2. x = 74.3 m
  3. 3. v0 = 32.8 m/s
  4. 4. x = 10.04 m
  5. 5. H = 24.29 m
  6. 6. x = 85.05 m

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