Question

# A body traveling 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 of the time and with velocity 4 m/s for the other half of time. The mean velocity averaged over the whole time of motion is

A

5

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B

4

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C

0

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D

2

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Solution

## The correct option is B 4 Let total distance = s Let the time taken to cover first one third distance = t1 , then t1 = s34 = s12 New let t2 be the time for the rest two journeys. Then 2s3 = 2t2 + 6 t2 = 8t2 ∴ = 2s24 = s12 ∴ Average velocity = totaldisplacementtotaltime = st1+2t2 = ss12+s6 = 12×612+6 = 4 m/s

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