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 = 70 mv0​ = ?x = 57 m

A stone is thrown horizontally from the top of a 70 m high wall and lands 57 m from the foot of the wall. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v0.

h = 70 mx = 57 mg = 9.81 m/s²
v0 = m/s
2.Easy
v0​ = 40 m/s60°t = ?

A ball is kicked from level ground at 40 m/s and 60° 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 = 40 m/sθ = 60°g = 9.81 m/s²
t = s
3.Medium
v0​ = 20 m/s30°x = ?

A ball is launched at 30° above horizontal from level ground. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v0 = 20 m/sθ = 30°g = 9.81 m/s²
x = m
4.Medium
v0​ = 12 m/sθ = ?R = 5 m

A ball is launched from level ground at 12 m/s and must land 5 m away. Ignore air resistance and use g = 9.81 m/s². Find the smaller of the two possible launch angles θ.

v₀ = 12 m/sR = 5 mg = 9.81 m/s²
θ = °
5.Hard
h = 55 mv0​ = 22 m/s35°range

A ball is launched at 35° above horizontal from the top of a 55 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v0 = 22 m/sθ = 35°h = 55 mg = 9.81 m/s²
t = s
6.Hard
h = 15 mv0​ = 32 m/s35°v = ?

A ball is launched at 32 m/s and 35° above the horizontal from the top of a 15 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 32 m/sθ = 35°h = 15 mg = 9.81 m/s²
v = m/s

Answer key

  1. 1. v0 = 15.09 m/s
  2. 2. t = 3.531 s
  3. 3. x = 35.31 m
  4. 4. θ = 9.957 °
  5. 5. t = 4.873 s
  6. 6. v = 36.31 m/s

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