Integration of velocity to get displacement

[rudransh verma]

Homework Statement

A particle at x=0 at time t=0 starts moving along positive x axis with velocity v= alpha$\sqrt x$. Displacement of particle is

Relevant Equations

$v=\frac{dx}{dt}$.

Integration of v= integration of$(alpha \sqrt x)dx$.
But I am getting wrong answer.

 

[Orodruin]

Homework Statement:: A particle at x=0 at time t=0 starts moving along positive x-axis with velocity v= alpha$\sqrt x$. Displacement of particle is
Relevant Equations:: $v=\frac{dx}{dt}$.

Integration of v= integration of$(alpha \sqrt x)dx$.
But I am getting wrong answer.

You have the wrong integral. Distance is the integral of velocity with respect to time, not with respect to distance.