A person travelling on a straight line moves with a uniform velocity v1 for a distance x and with a uniform velocity v2 for the next equal distance. The average velocity v is given by

Options

A. ` V= ( v_1+v_2) /( 2) `
B. ` v = sqrt (v_1v_2) `
C. ` (2)/(v) =(1)/(v_1) +(1)/(v_2) `
D. ` (1)/(v) =(1)/(v_1) +(1)/(v_2) `

Answer

C

Explanation

Average velocity =`(x+x)/(x//v_1+x//v_2) rArr v_(av) =(2)/((1)/(v_1)+((1)/(v_2)))rArr (2)/(v_(av) =(1)/(v_1) +(1)/(v_2) `