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A person travels along a straight road f...

A person travels along a straight road for the first half distance 4 m with a velocity `1ms^(-1)` and the second half distance 3 m with a velocity `0.7ms^(-1)`. What is the mean velocity of the person?

Text Solution

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Time taken by person to travel 4 m
`t_(1)=(((d)/(2)))/(v_(1))=(d)/(2v_(1))=(4)/(2xx1)=(4)/(2)=2s.`
Time taken by person to travel 3 m,
`t_(2)=(((d)/(2)))/(v_(2))=(d)/(2v_(2))=(3)/(2xx0.7)=(3)/(1.4)=2.14`
`because " Total time "=t_(1)+t_(2)=2+2.14=4.14s`.
Mean (or)average velocity,
`(d)/(t_(1)+t_(2))=((2v_(1)v_(2)))/((v_(1)+v_(2)))=(2xx(1xx0.7))/((1+0.7))=(1.4)/(1.7)="0.82 ms"^(-1)`
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Knowledge Check

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