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VI. Speed and Stopping Distance 30 pointsFor the following questions, assume:The drag factor is 0.8.The braking efficiency is 0.85.The reaction time is 1.5 seconds.The brake engagement time is 0.3 seconds.This approximates a dry asphalt road and an alert driver.31. The highest posted speed limit in the United States is 85 miles per hour, on Texas State Highway 130. Complete the table to find the total braking distance at several different speeds between 35 and 85 miles per hour. You'll need to use the conversion factor you found in question 18 and these formulas:distance = speed • timeRound distances to the nearest tenth of a foot. (15 points: 0.5 point for each value) Speed (miles per hour)Speed (feet per second)Reaction distance (feet)Brake engagement distance (feet)Braking/skid distance (feet)Total stopping distance (feet)35 45 55 65 75 85 32. If you are driving 85 miles per hour and hit the brakes, about how many 100-yard football field lengths do you travel before you come to a complete stop? (3 points) 33. Plot the speed in miles per hour versus the total stopping distance. Connect the points with a smooth curve. Does the graph appear to be a linear function, a quadratic function, another type of function you are familiar with, or none of these? (8 points: 2 points for identifying the function type, 1 point for each data point plotted correctly)34. Use your graph to estimate the stopping distance for a car traveling 70 miles per hour under these conditions. Explain how you found your estimate. (4 points: 3 points for the estimate, 1 point for explaining the method)

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