If the velocity of a body moving in a straight line is proportional to the square root of the distance traversed, then it moves with

Options

A. variable force
B. constant force
C. zero force
D. zero acceleration

Answer

B

Explanation

Let v be the velocity and s be the distance traversed by the body at any time t. then,
`v prop sqrt(s)`
`implies v= lambda sqrt(s)`, where `lambda` is a constant
`implies (dv)/(dt)=(lambda)/(2sqrt(s)) (ds)/(dt)`
`implies (dv)/(dt)=(lambda)/(2sqrt(s)) (lambda sqrt(s))=(lambda^(2))/(2)`=const.
implies Acceleration = Constant