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 = 15 mv0​ = 23 m/srange

A ball is launched horizontally from the top of a 15 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v0 = 23 m/sθ = 0°h = 15 mg = 9.81 m/s²
t = s
2.Easy
h = 5 mv0​ = 25 m/sv = ?

A ball is thrown horizontally at 25 m/s from the top of a 5 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 25 m/sh = 5 mg = 9.81 m/s²
v = m/s
3.Medium
v0​ = 26 m/s70°rangeH = ?

A ball is launched at 70° above horizontal from level ground. Ignore air resistance. Find the maximum height H the ball reaches.

v0 = 26 m/sθ = 70°g = 9.81 m/s²
H = m
4.Medium
v0​ = 32 m/s20°range

A ball is launched at 20° above horizontal from level ground. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v0 = 32 m/sθ = 20°g = 9.81 m/s²
t = s
5.Hard
h = 20 mv0​ = 10 m/s15°range

A ball is launched at 15° above horizontal from the top of a 20 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v0 = 10 m/sθ = 15°h = 20 mg = 9.81 m/s²
t = s
6.Hard
10 mv0​ = 22 m/s55°x = ?

A ball is thrown from ground level at 22 m/s and 55° above the horizontal. It lands on the flat roof of a building 10 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 = 22 m/sθ = 55°hroof = 10 mg = 9.81 m/s²
x = m

Answer key

  1. 1. t = 1.749 s
  2. 2. v = 26.89 m/s
  3. 3. H = 30.42 m
  4. 4. t = 2.231 s
  5. 5. t = 2.3 s
  6. 6. x = 37.77 m

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