Kinematics worksheet with answers

Free printable Kinematics 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
t (s)v (m/s)5 sv = ?

A car moving at 4 m/s speeds up with a constant acceleration of 3 m/s² for 5 s. Find its final speed v.

v₀ = 4 m/sa = 3 m/s²t = 5 s
v = m/s
2.Easy
t (s)v (m/s)7 s17.5

A car starts from rest and speeds up uniformly to 17.5 m/s in 7 s. Find the acceleration a.

v₀ = 0 m/sv = 17.5 m/st = 7 s
a = m/s²
3.Medium
t (s)v (m/s)t = ?20

A car driving at 72 km/h brakes with a constant deceleration of 7.5 m/s² until it stops. How long does braking take? Find t.

v₀ = 72 km/ha = −7.5 m/s²v = 0
t = s
4.Medium
t (s)v (m/s)3.968 s13.89

A car driving at 50 km/h brakes with a constant deceleration of 3.5 m/s² until it stops. Find the braking distance s.

v₀ = 50 km/ha = −3.5 m/s²v = 0
s = m
5.Hard
v₀ = 19 m/s35 m

A ball is thrown straight up at 19 m/s from the edge of a roof 35 m above the ground. Ignore air resistance and use g = 9.81 m/s². Find the greatest height hmax above the ground.

v₀ = 19 m/sh₀ = 35 mg = 9.81 m/s²
hmax = m
6.Hard
v₀ = 12 m/s15 m

A ball is thrown straight up at 12 m/s from the edge of a roof 15 m above the ground. Ignore air resistance and use g = 9.81 m/s². How long after the throw does it hit the ground? Find t.

v₀ = 12 m/sh₀ = 15 mg = 9.81 m/s²
t = s

Answer key

  1. 1. v = 19 m/s
  2. 2. a = 2.5 m/s²
  3. 3. t = 2.667 s
  4. 4. s = 27.56 m
  5. 5. hmax = 53.4 m
  6. 6. t = 3.357 s

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