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 = 65 mv0​ = 12 m/srange

A ball is launched horizontally from the top of a 65 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v0 = 12 m/sθ = 0°h = 65 mg = 9.81 m/s²
t = s
2.Easy
h = 35 mv0​ = 12 m/srange

A ball is launched horizontally from the top of a 35 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v0 = 12 m/sθ = 0°h = 35 mg = 9.81 m/s²
t = s
3.Medium
v0​ = ?35°R = 105 m

A ball is launched from level ground at 35° above the horizontal and lands 105 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v0.

θ = 35°R = 105 mg = 9.81 m/s²
v0 = m/s
4.Medium
v0​ = ?15°R = 20 m

A ball is launched from level ground at 15° above the horizontal and lands 20 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v0.

θ = 15°R = 20 mg = 9.81 m/s²
v0 = m/s
5.Hard
h = 30 mv0​ = 16 m/s50°x = ?

A ball is launched at 50° above horizontal from the top of a 30 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v0 = 16 m/sθ = 50°h = 30 mg = 9.81 m/s²
x = m
6.Hard
h = 50 mv0​ = 14 m/s15°range

A ball is launched at 15° 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 = 14 m/sθ = 15°h = 50 mg = 9.81 m/s²
t = s

Answer key

  1. 1. t = 3.64 s
  2. 2. t = 2.671 s
  3. 3. v0 = 33.11 m/s
  4. 4. v0 = 19.81 m/s
  5. 5. x = 41.35 m
  6. 6. t = 3.583 s

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