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

Chapter 6, Problem 20

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A car going 80 ft/sec (about 55 mph) brakes to a stop in five seconds. Assume the deceleration is constant. (a) Graph the velocity against time, t, for 0 t 5 seconds. (b) 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. (c) Find this area and hence the distance traveled. (d) Now find the total distance traveled using antidifferentiation.

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