Two spheres of masses m and 2m are separated by distance d. A particle of mass $\frac{m}{5}$ is projected straight from 2m towards m with a velocity v₀. Which of the following statements is correct?

Acceleration between them is zero, where force between 2m and $\frac{m}{5}$ is equal to the force between m and $\frac{m}{5}$ or the net force on $\frac{m}{5}$ is zero. Suppose, this point is P. Now if velocity v₀ is less than value necessary to cross point P, it will retrace its path otherwise not.