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 = 40 mv0​ = 13 m/srange

A ball is launched horizontally from the top of a 40 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v0 = 13 m/sθ = 0°h = 40 mg = 9.81 m/s²
t = s
2.Easy
h = 50 mv0​ = 13 m/sv = ?

A ball is thrown horizontally at 13 m/s from the top of a 50 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 = 50 mg = 9.81 m/s²
v = m/s
3.Medium
v0​ = 24 m/s20°rangeH = ?

A ball is launched at 20° above horizontal from level ground. Ignore air resistance. Find the maximum height H the ball reaches.

v0 = 24 m/sθ = 20°g = 9.81 m/s²
H = m
4.Medium
v0​ = ?75°R = 125 m

A ball is launched from level ground at 75° above the horizontal and lands 125 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v0.

θ = 75°R = 125 mg = 9.81 m/s²
v0 = m/s
5.Hard
h = 10 mv0​ = 32 m/s60°range

A ball is launched at 60° above horizontal from the top of a 10 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v0 = 32 m/sθ = 60°h = 10 mg = 9.81 m/s²
t = s
6.Hard
h = 55 mv0​ = 17 m/s40°x = ?

A ball is launched at 40° above horizontal from the top of a 55 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v0 = 17 m/sθ = 40°h = 55 mg = 9.81 m/s²
x = m

Answer key

  1. 1. t = 2.856 s
  2. 2. v = 33.91 m/s
  3. 3. H = 3.434 m
  4. 4. v0 = 49.52 m/s
  5. 5. t = 5.99 s
  6. 6. x = 60.46 m

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