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​ = 16 m/s50°t = ?

A ball is kicked from level ground at 16 m/s and 50° 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 = 16 m/sθ = 50°g = 9.81 m/s²
t = s
2.Easy
h = 35 mv0​ = ?x = 58 m

A stone is thrown horizontally from the top of a 35 m high wall and lands 58 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 = 58 mg = 9.81 m/s²
v0 = m/s
3.Medium
v0​ = 34 m/sθ = ?R = 45 m

A ball is launched from level ground at 34 m/s and must land 45 m away. Ignore air resistance and use g = 9.81 m/s². Find the smaller of the two possible launch angles θ.

v₀ = 34 m/sR = 45 mg = 9.81 m/s²
θ = °
4.Medium
v0​ = 18 m/s65°x = ?

A ball is launched at 65° above horizontal from level ground. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v0 = 18 m/sθ = 65°g = 9.81 m/s²
x = m
5.Hard
h = 55 mv0​ = 22 m/s30°H = ?

A ball is launched at 22 m/s and 30° above the horizontal from the top of a 55 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the greatest height H above the ground at the foot of the cliff.

v₀ = 22 m/sθ = 30°h = 55 mg = 9.81 m/s²
H = m
6.Hard
21 mv0​ = 31 m/s70°x = ?

A ball is thrown from ground level at 31 m/s and 70° above the horizontal. It lands on the flat roof of a building 21 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 = 70°hroof = 21 mg = 9.81 m/s²
x = m

Answer key

  1. 1. t = 1.249 s
  2. 2. v0 = 21.71 m/s
  3. 3. θ = 11.23 °
  4. 4. x = 25.3 m
  5. 5. H = 61.17 m
  6. 6. x = 54.07 m

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