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 = 25 mv0​ = 19 m/srange

A ball is launched horizontally from the top of a 25 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v0 = 19 m/sθ = 0°h = 25 mg = 9.81 m/s²
t = s
2.Easy
h = 35 mv0​ = ?x = 27 m

A stone is thrown horizontally from the top of a 35 m high wall and lands 27 m from the foot of the wall. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v0.

h = 35 mx = 27 mg = 9.81 m/s²
v0 = m/s
3.Medium
v0​ = 12 m/s70°range

A ball is launched at 70° above horizontal from level ground. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v0 = 12 m/sθ = 70°g = 9.81 m/s²
t = s
4.Medium
18 my = ?v0​ = 24 m/s65°

A ball is kicked from level ground at 24 m/s and 65° above the horizontal towards a wall 18 m away. Ignore air resistance and use g = 9.81 m/s². At what height y does the ball pass the wall?

v₀ = 24 m/sθ = 65°x = 18 mg = 9.81 m/s²
y = m
5.Hard
13 mv0​ = 29 m/s50°x = ?

A ball is thrown from ground level at 29 m/s and 50° above the horizontal. It lands on the flat roof of a building 13 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 = 29 m/sθ = 50°hroof = 13 mg = 9.81 m/s²
x = m
6.Hard
h = 10 mv0​ = 18 m/s20°range

A ball is launched at 20° above horizontal from the top of a 10 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v0 = 18 m/sθ = 20°h = 10 mg = 9.81 m/s²
t = s

Answer key

  1. 1. t = 2.258 s
  2. 2. v0 = 10.11 m/s
  3. 3. t = 2.299 s
  4. 4. y = 23.15 m
  5. 5. x = 71.56 m
  6. 6. t = 2.187 s

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