A body is thrown vertically up ith a velocity u. It passes three points A, B and C in its upward journey with velocities `(u)/(2),(u)/(3)` and `(u)/(4)`, respectively. The ratio of the separations between points A and B and between B and C i.e., `(AB)/(BC)` is

Options

A. 1
B. 2
C. `10//7`
D. `20//7`

Explanation

A to B ` " " (u//c) ^(2) =(u//2)^(2) -2g (AB) =AB =( 5u^(2))/( 72g) `
` underset-( B" to " C) (u//4)^(2) =( u//3) ^(2) -2g (BC) rArr BC =( 7u^(2) )/( 288 g) " "rArr " "(AB)/(BC) =(5)/(7) xx ( 288)/(7) = 20//7`