(1 point) A student is speeding down Route 11 in his fancy red Porsche when his

Question

(1 point) A student is speeding down Route 11 in his fancy red Porsche when his radar system warns him of an obstacle 400 feet ahead. He immediately applies the brakes, starts to slow down, and spots a skunk in the road directly ahead of him. The "black box" in the Porsche records the car's speed every two seconds, producing the following table. The speed decreases throughout the 10 seconds it takes to stop, although not necessarily at a uniform rate. Time since brakes applied (sec) 0 2 4 6 8 10 Speed (ft/sec) 105 85 50 30 10 0 A. What is your best estimate of the total distance the student's car traveled before coming to rest (note that the best estimate is probably not the over or under estimate that you can most easily find)? distance = (include units)

Explanation / Answer

lower estimation of the distance is

=[ 85*2 + 50*2 + 30*2 + 10*2 + 0] = 350 feet

and upper estimation of the distance is

=[105*2 + 85*2 + 50*2 + 30*2 + 10*2] = 560 feet

we can find the best estimation of the distance by taking theaverage of these estimations

that is the best estimation of the distance is = (350+560)/2 =455 feet

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