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

 

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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 = ct, where c is a positive constant, show that the angle between the velocity vector and the acceleration vector is 45 at time t = (b/c. (Hint: At this time the tangential and normal components of the acceleration are equal in magnitude.) 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 = ct, where c is a positive constant, show that the angle between the velocity vector and the acceleration vector is 45 at time t = (b/c. (Hint: At this time the tangential and normal components of the acceleration are equal in magnitude.)