A person travelling on a straight line moves with a uniform velocity `v_1` for some time and with uniform velocity `v_2` for the next equal time. The average velocity v is given by

Options

A. `(v_(1)+v_(2))/2`
B. `sqrt(v_(1)v_(2))`
C. `(v_(1)v_(2))/(v_(1)+v_(2))`
D. `(2v_(1)v_(2))/(v_(1)+v_(2))`

Answer

A

Explanation

(1) Let t be the time of journey

Average speed`=(d_(1)+d_(2))/t
=(v_(1)t/2+v_(2)t/2)/t`
`=(v_(1)+v_(2))/2`