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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 distance is covered in two equal time intervals with a speed of 3 ms−1 and 5 ms−1 respectively. The average speed of the particle for the entire journey is?

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Solution

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Let total distance be 2x

X is traveled by 2 m/s and x/2 by 3m/s and remaining x/2 by 5 m/s.

Vavg.=Total distanceTotal time

Vavg.=2xx2+x6+x10

Vavg.=2.608m/s

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