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)7 s6

A train slows down uniformly from 10 m/s to 6 m/s in 7 s. How far does it travel in that time? Find s.

v₀ = 10 m/sv = 6 m/st = 7 s
s = m
2.Easy
t (s)v (m/s)12 s52

A car moving at 16 m/s speeds up with a constant acceleration of 3 m/s² for 12 s. How far does it travel in that time? Find s.

v₀ = 16 m/sa = 3 m/s²t = 12 s
s = m
3.Medium
t (s)v (m/s)1.2 s15

A driver moving at 54 km/h sees an obstacle. Her reaction time is 1.2 s, after which the car brakes with a constant deceleration of 5.5 m/s². Find the total stopping distance d from the moment she sees the obstacle.

v₀ = 54 km/htr = 1.2 sa = −5.5 m/s²
d = m
4.Medium
t (s)v (m/s)3.333 s20

A car driving at 72 km/h brakes with a constant deceleration of 6 m/s² until it stops. Find the braking distance s.

v₀ = 72 km/ha = −6 m/s²v = 0
s = m
5.Hard
t (s)v (m/s)5 s

A tram starts from rest and accelerates at 1 m/s² for 5 s, then runs at constant speed for 27 s, and finally brakes at 4.5 m/s² until it stops. Find the total travel time t.

a1 = 1 m/s²t1 = 5 st2 = 27 sa3 = −4.5 m/s²
t = s
6.Hard
v₀ = 10 m/s35 m

A ball is thrown straight up at 10 m/s from the edge of a roof 35 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 = 10 m/sh₀ = 35 mg = 9.81 m/s²
t = s

Answer key

  1. 1. s = 56 m
  2. 2. s = 408 m
  3. 3. d = 38.45 m
  4. 4. s = 33.33 m
  5. 5. t = 33.11 s
  6. 6. t = 3.879 s

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