Acar travels from a to city b. for the first 30 minutes, the car travels at the constant speed of 45 mph. the car speed up and travels at 60 mph for the next 2 hours then it stop at a rest stop for 15 minutes. after the rest stop, the car travel another 1.5 hours at 50 mph to arrive at city b. let t be time in hour and s(t) represents the total distance traveled as a function of time. a) use piecewise function to write the rules of s(t) b) sketch the graph of s(t)