A 3.0 kg hard steel ball collides head on with a 1.0 kg hard steel ball. The balls are moving at 2 m/s in opposite directions before they collide. Upon colliding, the 3.0 kg ball stops. What is the velocity of the 1.0 kg ball after the collision?

(a) assume the equation x = at^3 + bt describes the motion of a particular object, with x having the dimension of length and t having the dimension of time. determine the dimensions of the constants a and b. (use the following as necessary: l and t, where l is the unit of length and t is the unit of time.) (b) determine the dimensions of the derivative dx/dt = 3at^2 + b. (use the following as necessary: l and t, where l is the unit of length and t is the unit of time.)