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Question

# 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 over the whole time of motion is

A
5 m/s
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B
4 m/s
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C
4.5 m/s
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D
3.5 m/s
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Solution

## The correct option is B 4 m/sLet the total distance travelled by the body =s Let the time taken to cover first one-third of the total distance =t1 Velocity with which the body travelled first one-third of the total distance =4 m/s Then, t1=s/34=s12 Let t be the time taken to travel remaining part of the total distance. Remaining part of the total distance =s−s3=2s3 Given that 2s3 was covered with a velocity 2 m/s for half the time and with velocity 6 m/s for the other half of time ⇒2s3=2×t2+6×t2=4t

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