Multiple choice

A body travelling along a straight line traversed one third of the total distance with a velocity 4 m/s. The remaining part of the distance was covered with a velocity 2 m/s for half the time and with velocity 6 m/s for the other half of time. The mean velocity averaged

  1. 5 m/s

  2. 4 m/s

  3. 4.5 m/s

  4. 3.5 m/s
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let total distance be 3D. First D is covered at 4 m/s (time = D/4). Remaining 2D is covered in time T, where D/T = (2+6)/2 = 4 m/s. So T = 2D/4 = D/2. Total time = D/4 + D/2 = 3D/4. Mean velocity = Total Distance / Total Time = 3D / (3D/4) = 4 m/s.

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