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A car is traveling along a straight road and is coming to a stop. Its velocity is measured at several different points in time, as shown in the following table. a. Plot the given data on a set of axes with time on the horizontal axis and the velocity on the vertical axis. - The data is graphed accurately with the axes labeled properly with appropriate dimensions. - All coordinate pairs are labeled correctly on the graph. b. Using a middle Riemann sum with 3 subintervals, estimate the total distance traveled from the time the car starts braking until it stops. - Work is shown. - Answer is correctly stated and includes units. c. Estimate the total distance traveled on $[0,1.8]$ by computing $L_{6},R_{6}$ and $21?(L_{6}+R_{6})$. - Work is shown and the answer is correctly stated for $L_{6}$ and includes units. - Work is shown and the answer is correctly stated for $R_{6}$ and includes units. - Work is shown and the answer is correctly stated for $21?(L_{6}+R_{6})$ and includes units. d. Assuming that $v(t)$ is always decreasing on $[0,1.8]$, what is the maximum possible distance the car traveled before it stopped? Explain your reasoning. - Answer is correctly stated and includes units. - Explanation is shown.

Given:seconds,t00.30.60.91.21.51.8velocity in ft/s v(t)10088745940190a). Graph of ti