Hello candidate,

In order to solve this problem you have to take the help of differential form of acceleration in the form of velocity-

We know acceleration of the particle is equal to- a= -2x/m, and the formula acceleration is equal to vdv/dx=-2x/m, so the value of v equals to x/√m.

Hope you found it helpful!!

For more queries, feel free to post it here!!

Hi there,

F = –x2 ------(1)

ma = –x2-----(2)

a=-x2/m-----(3)

Substitute a=vdv/dx in the above equation (3), the equation becomes:

vdv/dx=-x2/m----(4)

Now integrate equation (4), to find x. The limits of integration will be between Vo and Zero. (initial and final respectively)

On solving you should get the value of x (distance) as (3Vo^2.m/2)^1/3

x=  (3Vo^2.m/2)^1/3

I hope this helps!

Thank you!