Question

the rate of doing work by force acting on a particle moving along x-axis depends on position x of particle and is equal to 2x. the velocity of particle is

Answer 1

refer to the attachment

Answer 2

Rate of doing work is power so according to the given condition

P = 2x

so Fv = 2x

or m(dv/dt)v = 2x

or m(vdv/dx)v = 2x

or mv2dv = 2xdx

now integrate.

answer :(3X2/m)1/3