Question
A particle moves from rest at a distance c from fixed point O with accelerationμ/x3, where μ is constant and x is the distance away from O. What will be the velocity of the particle when it is at a distance 2c from where it started?

Solution
Let at any instant the particle be at a distance x from O.
Acceleration of the particle is given by,
a =
Integrating both sides, we get