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)12 sv = ?

A car moving at 8 m/s speeds up with a constant acceleration of 2 m/s² for 12 s. Find its final speed v.

v₀ = 8 m/sa = 2 m/s²t = 12 s
v = m/s
2.Easy
t (s)v (m/s)9 s17.5

A car speeds up uniformly from 4 m/s to 17.5 m/s in 9 s. Find the acceleration a.

v₀ = 4 m/sv = 17.5 m/st = 9 s
a = m/s²
3.Medium
t (s)v (m/s)0.6 s25

A driver moving at 90 km/h sees an obstacle. Her reaction time is 0.6 s, after which the car brakes with a constant deceleration of 8 m/s². Find the total stopping distance d from the moment she sees the obstacle.

v₀ = 90 km/htr = 0.6 sa = −8 m/s²
d = m
4.Medium
t (s)v (m/s)3.472 s13.89

A car driving at 50 km/h brakes with a constant deceleration of 4 m/s² until it stops. Find the braking distance s.

v₀ = 50 km/ha = −4 m/s²v = 0
s = m
5.Hard
v₀ = 13 m/s10 m

A ball is thrown straight up at 13 m/s from the edge of a roof 10 m above the ground. Ignore air resistance and use g = 9.81 m/s². Find the greatest height hmax above the ground.

v₀ = 13 m/sh₀ = 10 mg = 9.81 m/s²
hmax = m
6.Hard
t (s)v (m/s)12 s

A tram starts from rest and accelerates at 2.5 m/s² for 12 s, then runs at constant speed for 10 s, and finally brakes at 3.5 m/s² until it stops. Find the total distance s between the two stops.

a1 = 2.5 m/s²t1 = 12 st2 = 10 sa3 = −3.5 m/s²
s = m

Answer key

  1. 1. v = 32 m/s
  2. 2. a = 1.5 m/s²
  3. 3. d = 54.06 m
  4. 4. s = 24.11 m
  5. 5. hmax = 18.61 m
  6. 6. s = 608.6 m

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