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​ = 9 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 = 9 m/sθ = 0°h = 65 mg = 9.81 m/s²
t = s
2.Easy
h = 30 mv0​ = 22 m/sx = ?

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

v0 = 22 m/sθ = 0°h = 30 mg = 9.81 m/s²
x = m
3.Medium
v0​ = ?30°R = 105 m

A ball is launched from level ground at 30° above the horizontal and lands 105 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v0.

θ = 30°R = 105 mg = 9.81 m/s²
v0 = m/s
4.Medium
v0​ = 38 m/sθ = ?R = 105 m

A ball is launched from level ground at 38 m/s and must land 105 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 = 105 mg = 9.81 m/s²
θ = °
5.Hard
3 mv0​ = 33 m/s35°x = ?

A ball is thrown from ground level at 33 m/s and 35° above the horizontal. It lands on the flat roof of a building 3 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 = 33 m/sθ = 35°hroof = 3 mg = 9.81 m/s²
x = m
6.Hard
11 mv0​ = 27 m/s70°x = ?

A ball is thrown from ground level at 27 m/s and 70° 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 = 27 m/sθ = 70°hroof = 11 mg = 9.81 m/s²
x = m

Answer key

  1. 1. t = 3.64 s
  2. 2. x = 54.41 m
  3. 3. v0 = 34.49 m/s
  4. 4. θ = 22.75 °
  5. 5. x = 99.84 m
  6. 6. x = 43.36 m

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