The velocity of a particle moving along the positive direction of x-axis is v=`Asqrt(x)`, where A is a positive constant. At time t = 0 , the displacement of the particle is taken as x = 0 . (i) Express velocity and acceleration as functions of time , and (ii) find out the average velocity of the particle in the period when it travels through a distance s ?

Answer

(i) v = `(1)/(2) A^(2)t, a = (1)/(2)A^(2)` (ii) `v_(ac)= (1)/(2) Asqrt(s)`