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)8 s34

A car moving at 6 m/s speeds up with a constant acceleration of 3.5 m/s² for 8 s. How far does it travel in that time? Find s.

v₀ = 6 m/sa = 3.5 m/s²t = 8 s
s = m
2.Easy
t (s)v (m/s)6 s12

A train slows down uniformly from 25 m/s to 12 m/s in 6 s. How far does it travel in that time? Find s.

v₀ = 25 m/sv = 12 m/st = 6 s
s = m
3.Medium
t (s)v (m/s)t = ?22.22

A car driving at 80 km/h brakes with a constant deceleration of 3.5 m/s² until it stops. How long does braking take? Find t.

v₀ = 80 km/ha = −3.5 m/s²v = 0
t = s
4.Medium
a = ?s = 1400 m

A plane needs a speed of 220 km/h to take off and the usable runway is 1400 m long. Starting from rest, what constant acceleration a does it need?

v₀ = 0v = 220 km/hs = 1400 m
a = m/s²
5.Hard
t (s)v (m/s)11 s

A tram starts from rest and accelerates at 3 m/s² for 11 s, then runs at constant speed for 23 s, and finally brakes at 3.5 m/s² until it stops. Find the total distance s between the two stops.

a1 = 3 m/s²t1 = 11 st2 = 23 sa3 = −3.5 m/s²
s = m
6.Hard
v₀ = 18 m/s15 m

A ball is thrown straight up at 18 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 = 18 m/sh₀ = 15 mg = 9.81 m/s²
t = s

Answer key

  1. 1. s = 160 m
  2. 2. s = 111 m
  3. 3. t = 6.349 s
  4. 4. a = 1.334 m/s²
  5. 5. s = 1096 m
  6. 6. t = 4.37 s

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