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
v0​ = 32 m/s45°t = ?

A ball is kicked from level ground at 32 m/s and 45° 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 = 32 m/sθ = 45°g = 9.81 m/s²
t = s
2.Easy
v0​ = 24 m/s35°t = ?

A ball is kicked from level ground at 24 m/s and 35° 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 = 24 m/sθ = 35°g = 9.81 m/s²
t = s
3.Medium
v0​ = 38 m/s30°range

A ball is launched at 30° above horizontal from level ground. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v0 = 38 m/sθ = 30°g = 9.81 m/s²
t = s
4.Medium
v0​ = 36 m/s35°range

A ball is launched at 35° above horizontal from level ground. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v0 = 36 m/sθ = 35°g = 9.81 m/s²
t = s
5.Hard
h = 45 mv0​ = 27 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 = 27 m/sθ = 35°h = 45 mg = 9.81 m/s²
t = s
6.Hard
h = 20 mv0​ = 29 m/s20°x = ?

A ball is launched at 20° above horizontal from the top of a 20 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v0 = 29 m/sθ = 20°h = 20 mg = 9.81 m/s²
x = m

Answer key

  1. 1. t = 2.307 s
  2. 2. t = 1.403 s
  3. 3. t = 3.874 s
  4. 4. t = 4.21 s
  5. 5. t = 4.994 s
  6. 6. x = 89.09 m

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