The velocity of a particle moving in the positive direction I of the x axis varies as v=a*root of x,where a is a +'ve constant .assuming that at moment t=0 the particle was located at the point x=0.find:
A)the time dependence of the velocity and acceleration of the particle

The velocity of a particle moving in the positive direction I of the x axis varies as v=a*root of x,where a is a +'ve constant .assuming that at moment t=0 the particle was located at the point x=0.find:
A)the time dependence of the velocity and acceleration of the particle

Assuming that by "root of x" you mean the square root, \(\displaystyle x^{1/2}\), "v= a root of x" is \(\displaystyle \frac{dx}{dt}= ax^{1/2}\). That can be written as \(\displaystyle x^{-1/2}dx= a dt\). Integrate.