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A particle travelled half the distance w...

A particle travelled half the distance with a speed `v_(0)`. The remaining part of the distance was covered with speed `v_(1)` for half the time and with speed `v_(2)` for the other half of the time. Find the average speed of the particle.

Text Solution

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Let S = Total distance traversed by the particle `t_1` = time taken to travel half the distance (S/2) `v_0` =speed of the particle.
Now ,distance =speed x time `" "therefore " "(S)/(2) =v_0t_1 " "or " "t_1 =(S)/(2v_0) " "...(1)`
Now, let 2t be the time to cover the remaining distance ` (S)/(2) `Let t be the time taken by the particle to travel distance with speed
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