highway curves.... proper banking angle, theta, for a car making a turn of radius, r feet at a velocity v feet per second is given by tan theta = v^2 /gr, where g is the acceleration due to gravity. assume g = 32 ft/s^2. an engineer is designing a curve with a radius of 1000 feet. if the speed limit on the curve will be 55mph, at what angle should the curve be banked?