A particle moving in a straight line is acted by a force, which works at a constant rate and changes its velocity from u to v in passing over a distance x. The time taken will be -

Options

A. `x=(v-u)/(v^(2)+u^(2))`
B. `x((v+u)/(v^(2)+u^(2)))`
C. `(3)/(2)(x)((v^(2)-u^(2))/(v^(3)-u^(3)))`
D. `x((v)/(u))`