1. A car travels 20 mi/hr for 2 hours and then 30 mi/hr for 3 hours.
a) For 0<t<2 let c(t) be the distance the car has traveled in miles from time 0 to time t, where t is measured in hours. Find c(t).
b) Extend your function c(t) from part (a) to the time period 2< =t< =5. You will have a piecewise continuous function.
c) For the function c(t) in the previous problem, find c'(1) and c'(3).