The pilot of an airplane executes a vertical loop which in part follows the path of a four-leaved rose, r=(−600cos2θ)ft, where θ is in radians. His speed at A is a constant vP = 80 ft/s. He weighs 120 lb . Hint: To determine the time derivatives necessary to compute the acceleration components ar and aθ, take the first and second time derivatives of r=(−600cos2θ). Then, for further information, use v=r˙2+(rθ˙)2−−−−−−−−√ to determine θ˙. Also, take