The distance, s, traveled by a cyclist, who starts at 1 pm, is given in Figure 4.116

Chapter 4, Problem 74

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The distance, s, traveled by a cyclist, who starts at 1 pm, is given in Figure 4.116. Time, t, is in hours since noon. (a) Explain why the quantity s/t is represented by the slope of a line from the origin to the point (t, s) on the graph. (b) Estimate the time at which the quantity s/t is a maximum. (c) What is the relationship between the quantity s/t and the instantaneous speed of the cyclist at the time you found in part (b)? 1 2 3 4 5 20 40 t (hours) s (km) Figure 4.116

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