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A body of mass m moving along a straight line covers half the distance with a speed of 2ms−1. The remaining half of the distance is covered in two equal time intervals with a speed of 3ms−1 and 5ms−1 respectively.The average speed of the particle for the entire journey is

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Solution

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t1=S2

Let t2 be the time taken by the body for each time interval for the remaining hal journey.

S=3t2+5t2=8t2

So, average speed =totaldistancetravelledtotaltimetaken

=2St1+2t2

=2SS2+S4

=83ms−1

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