The pilot of the airplane executes a vertical loop which in part follows the path of a cardioid, r = 200 (1+ cosθ) m, where θ is in radians. his speed at a is a constant vp = 95 m/s . he has a mass of 90 kg . hint: to determine the time derivatives necessary to calculate the acceleration components ar and aθ, take the first and second time derivatives of r = 200 (1 + cosθ). then, for further information, use v = r˙2+(rθ˙)2−−−−−−−−−√ to determine θ˙