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 = 50 mv0​ = 10 m/sx = ?

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

v0 = 10 m/sθ = 0°h = 50 mg = 9.81 m/s²
x = m
2.Easy
h = 20 mv0​ = 16 m/sx = ?

A ball is launched horizontally from the top of a 20 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v0 = 16 m/sθ = 0°h = 20 mg = 9.81 m/s²
x = m
3.Medium
v0​ = ?25°R = 70 m

A ball is launched from level ground at 25° above the horizontal and lands 70 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v0.

θ = 25°R = 70 mg = 9.81 m/s²
v0 = m/s
4.Medium
v0​ = 24 m/s30°rangeH = ?

A ball is launched at 30° above horizontal from level ground. Ignore air resistance. Find the maximum height H the ball reaches.

v0 = 24 m/sθ = 30°g = 9.81 m/s²
H = m
5.Hard
h = 5 mv0​ = 20 m/s60°range

A ball is launched at 60° 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 = 20 m/sθ = 60°h = 5 mg = 9.81 m/s²
t = s
6.Hard
h = 25 mv0​ = 17 m/s25°v = ?

A ball is launched at 17 m/s and 25° above the horizontal from the top of a 25 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 17 m/sθ = 25°h = 25 mg = 9.81 m/s²
v = m/s

Answer key

  1. 1. x = 31.93 m
  2. 2. x = 32.31 m
  3. 3. v0 = 29.94 m/s
  4. 4. H = 7.339 m
  5. 5. t = 3.799 s
  6. 6. v = 27.92 m/s

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