Arabbit runs across a parking lot on which a set of coordinate axis has strangely enough been drawn on coordinate system. the rabbit's path is such that the component of its position with respect to an origin of coordinate are given by the function of time by x=-0.31t^2+7.2t+28 and y=0.22t^2-9.1t+30. the rabbit's position vector r is r(t) =x(t) i+y(t) j. what are the magnitude and direction of the rabbit's position vector at t=15s