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 = 55 mv0​ = ?x = 40 m

A stone is thrown horizontally from the top of a 55 m high wall and lands 40 m from the foot of the wall. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v0.

h = 55 mx = 40 mg = 9.81 m/s²
v0 = m/s
2.Easy
v0​ = 26 m/s30°t = ?

A ball is kicked from level ground at 26 m/s and 30° 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 = 26 m/sθ = 30°g = 9.81 m/s²
t = s
3.Medium
94 my = ?v0​ = 34 m/s45°

A ball is kicked from level ground at 34 m/s and 45° above the horizontal towards a wall 94 m away. Ignore air resistance and use g = 9.81 m/s². At what height y does the ball pass the wall?

v₀ = 34 m/sθ = 45°x = 94 mg = 9.81 m/s²
y = m
4.Medium
v0​ = 36 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 = 36 m/sθ = 25°g = 9.81 m/s²
x = m
5.Hard
h = 45 mv0​ = 19 m/s35°range

A ball is launched at 35° above horizontal from the top of a 45 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v0 = 19 m/sθ = 35°h = 45 mg = 9.81 m/s²
t = s
6.Hard
h = 60 mv0​ = 24 m/s35°v = ?

A ball is launched at 24 m/s and 35° above the horizontal from the top of a 60 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 24 m/sθ = 35°h = 60 mg = 9.81 m/s²
v = m/s

Answer key

  1. 1. v0 = 11.95 m/s
  2. 2. t = 1.325 s
  3. 3. y = 19.02 m
  4. 4. x = 101.2 m
  5. 5. t = 4.337 s
  6. 6. v = 41.87 m/s

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