5) Terminal speed, also called terminal velocity, is the maximum speed obtainable by an object subject to air resistance. At terminal speed, the object has zero acceleration. a) Show that the terminal speed of a falling spherical object of mass m subject to a force of air resistance F(v) = -cv c|| is given by v = (mg + (22)) - 22. vt b) Find the limit of vt as c approaches zero. C2 C1 c) Find the limit of vt as c approaches zero. Note: to do this, you may wish to use a Taylor series expansion.