A student is speeding down Highway 16 in her fancy red Porsche when her radar system warns her of an obstacle 400 feet ahead. She immediately applies the brakes, starts to slow down, and spots a skunk in the road directly ahead of her. 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) 120 80 50 25 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, use the trapezoidal approximation)? distance = B. Given the fact that the Porsche slows down during breaking, give a sharp 1. underestimate of the distance traveled: ii. overestimate of the distance traveled:

A student is speeding down Highway 16 in her fancy red Porsche when her radar system warns her of an obstacle 400 feet ahead. She immediately applies the brakes, starts to slow down, and spots a skunk in the road directly ahead of her. 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) 120 80 50 25 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, use the trapezoidal approximation)? distance = B. Given the fact that the Porsche slows down during breaking, give a sharp 1. underestimate of the distance traveled: ii. overestimate of the distance traveled: