A bicyclist is pedaling along a straight road for one hour


Question: A bicyclist is pedaling along a straight road for one hour with a velocity v shown in Figure 5.15. She starts out five kilometers from the lake and positive velocities take her toward the lake. [Note: The vertical lines on the graph are at 10 minute (1/6 hour) intervals.]

(a) Does the cyclist ever turn around? If so, at what time(s)?

(b) When is she going the fastest? How fast is she going then? Toward the lake or away?

(c) When is she closest to the lake? Approximately how close to the lake does she get?

(d) When is she farthest from the lake? Approximately how far from the lake is she then?

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Mathematics: A bicyclist is pedaling along a straight road for one hour
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