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​ = 12 m/s40°t = ?

A ball is kicked from level ground at 12 m/s and 40° 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 = 12 m/sθ = 40°g = 9.81 m/s²
t = s
2.Easy
h = 5 mv0​ = 5 m/srange

A ball is launched horizontally from the top of a 5 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v0 = 5 m/sθ = 0°h = 5 mg = 9.81 m/s²
t = s
3.Medium
v0​ = 38 m/sθ = ?R = 85 m

A ball is launched from level ground at 38 m/s and must land 85 m away. Ignore air resistance and use g = 9.81 m/s². Find the smaller of the two possible launch angles θ.

v₀ = 38 m/sR = 85 mg = 9.81 m/s²
θ = °
4.Medium
v0​ = 32 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 = 32 m/sθ = 35°g = 9.81 m/s²
t = s
5.Hard
11 mv0​ = 31 m/s55°x = ?

A ball is thrown from ground level at 31 m/s and 55° above the horizontal. It lands on the flat roof of a building 11 m high, on its way down. Ignore air resistance and use g = 9.81 m/s². Find the horizontal distance x from the launch point to where it lands.

v₀ = 31 m/sθ = 55°hroof = 11 mg = 9.81 m/s²
x = m
6.Hard
2 mv0​ = 19 m/s30°x = ?

A ball is thrown from ground level at 19 m/s and 30° above the horizontal. It lands on the flat roof of a building 2 m high, on its way down. Ignore air resistance and use g = 9.81 m/s². Find the horizontal distance x from the launch point to where it lands.

v₀ = 19 m/sθ = 30°hroof = 2 mg = 9.81 m/s²
x = m

Answer key

  1. 1. t = 0.7863 s
  2. 2. t = 1.01 s
  3. 3. θ = 17.64 °
  4. 4. t = 3.742 s
  5. 5. x = 83.57 m
  6. 6. x = 27.91 m

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