A car is moving at 10m/s along a straight road. The driver applies the brakes and the car slows down uniformly to rest with a retardation of 2m/s2. Immediately afterwards the car accelerates uniformly in the same direction at 3m/s2 until its speed reaches 15m/s. What is the total distance covered during the entire slowing down and speeding up process?
(a) 45.8m
(b) 37.5m
(c) 62.5m
(d) 100m