A car travels around a horizontal bend of radius R at constant speed V . (i) If the road surface has a coefficient of friction ns , what is the maximum speed, Vmax , at which the car can travel without sliding? (ii) Given ns = 0.85 and R = 150 m, what is Vmax ? (iii) What is the magnitude and direction of the car's acceleration at this speed? (iv) If ns = 0, at what angle would the bend need to be banked in order for the car to still be able to round it at the same maximum speed found in part (ii)?