Two spheres, each of mass m, can slide freely on a frictionless, horizontal surface. Sphere A is moving at an intital speed of 16 ft/s when it strikes sphere B which is at rest and the impact causes B to break into pieces, each of mass m/2. 0.7 s after the collision the other piece reaches D. Determine (a) the velocity of sphere A after the collision (b) the angle theta and the speeds of the two pieces after the collision.