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​ = ?x = 16 m

A stone is thrown horizontally from the top of a 15 m high wall and lands 16 m from the foot of the wall. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v0.

h = 15 mx = 16 mg = 9.81 m/s²
v0 = m/s
2.Easy
h = 35 mv0​ = 24 m/sv = ?

A ball is thrown horizontally at 24 m/s 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 = 24 m/sh = 35 mg = 9.81 m/s²
v = m/s
3.Medium
v0​ = 32 m/sθ = ?R = 80 m

A ball is launched from level ground at 32 m/s and must land 80 m away. Ignore air resistance and use g = 9.81 m/s². Find the smaller of the two possible launch angles θ.

v₀ = 32 m/sR = 80 mg = 9.81 m/s²
θ = °
4.Medium
v0​ = 12 m/s45°x = ?

A ball is launched at 45° above horizontal from level ground. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v0 = 12 m/sθ = 45°g = 9.81 m/s²
x = m
5.Hard
h = 50 mv0​ = 18 m/s40°range

A ball is launched at 40° above horizontal from the top of a 50 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v0 = 18 m/sθ = 40°h = 50 mg = 9.81 m/s²
t = s
6.Hard
h = 60 mv0​ = 31 m/s45°range

A ball is launched at 45° above horizontal from the top of a 60 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v0 = 31 m/sθ = 45°h = 60 mg = 9.81 m/s²
t = s

Answer key

  1. 1. v0 = 9.149 m/s
  2. 2. v = 35.53 m/s
  3. 3. θ = 25.02 °
  4. 4. x = 14.68 m
  5. 5. t = 4.583 s
  6. 6. t = 6.385 s

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