A lorry accelerates uniformly in a straight line with acceleration of 4 ms-2 and covers a

JAMB Physics 2023 57 views

A lorry accelerates uniformly in a straight line with acceleration of 4 ms-2 and covers a distance of 250 m in a time interval of 10 s. How far will it travel in the next 10 s?

  1. 900 m
  2. 250 m
  3. 800 m
  4. 650 m ✓

Explanation

First find initial velocity using s = ut + ½at²: 250 = 10u + ½(4)(100), giving u = 5 m/s. Velocity after 10s is v = u + at = 5 + 40 = 45 m/s.

For the next 10 seconds, use s = ut + ½at² with u = 45 m/s: s = 45(10) + ½(4)(100) = 450 + 200 = 650 m.

The lorry travels farther in the second interval because it starts faster. Uniform acceleration means velocity keeps increasing throughout the motion.

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