A racing car moves on a circle of constant radius b. If the speed of the car varies with t...

A racing car moves on a circle of constant radius b. If the speed of the car varies with time t according to the equation υ = ct, where c is a positive constant, show that the angle between the velocity vector and the acceleration vector is 45° at time . (Hint: At this time the tangential and normal components of the acceleration are equal in magnitude.)