1) 20] a small ball is fastened to a long rubber band and twirled around in such a way that ball moves in an elliptical path given by the equation r(t) = bcos(at)i + 2b sin(at)j where b and are constants. find the velocity and acceleration vectors of the ball as a function of time. at what times does the distance r have its maximum value? what are the magnitudes of the velocity and acceleration at those times?