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Question

A vehicle travels half the distance L with speed  V$$_1$$ and the other half with speed with V$$_2$$ what is the average speed?


Solution


Let the total distance is d.

Then the time taken to cover the first half distance is:

$$=\dfrac{\dfrac{d}{2}}{v_1}$$

Similarly,

 The time taken in second half is:

$$=\dfrac{\dfrac{d}{2}}{v_2}$$

Thus the average speed is:

$$s=\dfrac{d}{\dfrac{d}{2}{v_1}+\dfrac{d}{2}{v_2}}$$

$$=\dfrac{2v_2v_1}{v_1+v_2}$$

Physics

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