Two particles are launched from the origin of the coordinate system at time t = 0. Particle 1 of mass m1 = 5.00 g is shot directly along an x axis (on a frictionless floor), where it moves with a constant speed of 16.0 m/s. Particle 2 of mass m2 = 3.00 g is shot with a velocity of magnitude 32.0 m/s, at an upward angle such that it always stays directly above particle 1 during its flight.

(a) What is the maximum height Hmax reached by the center of mass of the two-particle system?

(b) What is the magnitude and direction of the velocity of the center of mass when the center of mass reaches this height?

(c) What is the magnitude and direction of the acceleration of the center of mass when the center of mass reaches this height?