Represent as an area on the graph the total distance


Question: 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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Mathematics: Represent as an area on the graph the total distance
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