The impulse-momentum equation states the relationship between a force F(t ) applied to an object of mass m and the resulting change in velocity v of the object. The equation is , where v = v(b)-v(a). Suppose that the force of a baseball bat on a ball is approximately F(t ) =9-108(t-0.0003)2 thousand pounds for t between 0 and 0.0006 seconds. What is the maximum force on the ball? Using m = 0.01 for the mass of a baseball, estimate the change in velocity v (in ft/s).