Esther Is a Swimmer Who Prides Herself in Having a Smooth

question 75

Short Answer

Esther is a swimmer who prides herself in having a smooth backstroke.Let s(t)be her position in an Olympic size (50-meter)pool, as a function of time (s(t)is measured in meters, t is seconds).Below we list some values of s(t), for a recent swim.Based on the data, was Esther's instantaneous speed ever greater than 3 meters/second?
$$\begin{array} { c c c c c c c c c c c c } t & 0 & 3.0 & 8.6 & 14.6 & 20.8 & 27.6 & 31.9 & 38.1 & 45.8 & 53.9 & 60 \\s ( t ) & 0 & 10 & 20 & 30 & 40 & 50 & 40 & 30 & 20 & 10 & 0\end{array}$$

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