A body travelling along a straight line path travels first half of the distance with a velocity 7 ms^–1. During the travel time of the second half of the distance, first half time is travelled with a velocity 14 ms^–1 and the second half time is travelled with a velocity 21 ms^–1. Then the average velocity of the body during the journey is $______$ ms^–1

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answer is 10.

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Detailed Solution

Let total distance d

Let time covered for first one third distance be t1

Then t1 = (d/2)/7 = d/14

t₂ be time for next two journeys

d/2 = 14t₂ + 21t₂ = 35t₂

t₂ = d/70
Average velocity = Total distance/Total time = d/(t₁+2t₂) = $\frac{d}{(\frac{d}{14} + \frac{2 d}{70})}$ = 10m/s

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