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 = 5 mv0​ = 17 m/sv = ?

A ball is thrown horizontally at 17 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 = 17 m/sh = 5 mg = 9.81 m/s²
v = m/s
2.Easy
v0​ = 38 m/s20°t = ?

A ball is kicked from level ground at 38 m/s and 20° above the horizontal. Ignore air resistance and use g = 9.81 m/s². How long t after the kick does it reach its highest point?

v₀ = 38 m/sθ = 20°g = 9.81 m/s²
t = s
3.Medium
v0​ = 40 m/s45°rangeH = ?

A ball is launched at 45° above horizontal from level ground. Ignore air resistance. Find the maximum height H the ball reaches.

v0 = 40 m/sθ = 45°g = 9.81 m/s²
H = m
4.Medium
v0​ = 26 m/s25°rangeH = ?

A ball is launched at 25° above horizontal from level ground. Ignore air resistance. Find the maximum height H the ball reaches.

v0 = 26 m/sθ = 25°g = 9.81 m/s²
H = m
5.Hard
h = 35 mv0​ = 31 m/s40°v = ?

A ball is launched at 31 m/s and 40° above the horizontal from the top of a 35 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 31 m/sθ = 40°h = 35 mg = 9.81 m/s²
v = m/s
6.Hard
h = 5 mv0​ = 14 m/s35°range

A ball is launched at 35° 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 = 14 m/sθ = 35°h = 5 mg = 9.81 m/s²
t = s

Answer key

  1. 1. v = 19.67 m/s
  2. 2. t = 1.325 s
  3. 3. H = 40.77 m
  4. 4. H = 6.154 m
  5. 5. v = 40.59 m/s
  6. 6. t = 2.118 s

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