Also do and turn in the following problem (from Hughes-Hallett et al., page 308, #13):

A car going 80 ft/sec (about 55 mph) brakes to a stop in five seconds. Assume the deceleration is constant.

1. Graph the velocity against time, t, for 0<or= t <or= 5 seconds.
2. Represent, as an area on the graph, the total distance traveled from the time the brakes are applied until the car comes to a stop.
3. Find this area and hence the distance traveled.
4. Now find the total distance traveled using antidifferentiation.