Question

When acceleration be function of velocity as a=f(v), then?

Answer 1

Then displacement is:

a = dv/dt = dv/dx dx/dt

Now dx/dt = v

So a = vdv/dx = f(v)

Therefore v/f(v) = dx

Let the integral of v/f(v)dv be F(v)

Then x = F(v) + C

The the initial velocity is 'u' and the initial position is 'a' then C = a - F(u)

So x = a + F(v) - F(u)

Hope you meant this!