2. a. In a fully elastic collision, an object of mass 5.0 kg, travelling horizontally on a frictionless surface at 16 m/s, strikes a stationary object of mass 3.0 kg. After the collision, the larger object is observed to have a velocity of magnitude 12 m/s at 30 to its original direction of motion. What is the velocity (magnitude and direction) of the smaller object? \Write an equation that describes the position of the center of mass of the two particles in problem 2a is, before the collision. Your answer should start with "x(t) = " and may be a function of time! c. Rewrite the initial conditions of problem 2a from a center of mass frame of reference (that is, as if the center of mass never moved), then re-solve the problem. Show that the solution is equivalent to the solution in problem in part a. Hint: drawing the "new" velocity vectors may help