Question

A low energy helium nucleus moves toward an atom of the heavy element tin, it undergoes Rutherford scattering, which makes it move in a hyperbolic orbit with respect to the tin atom (Figure 3.40). Assume that the hyperbolic orbit is described by x^2-y^2=c^2. Assume that at the moment the helium nucleus is at the point (2c, c(sqrt(3)) we have dy/dt = 2. Find dy/dt at that moment.