A car is traveling at 80 feet per second (approximately 55 miles per hour) and slows down as it passes through a busy intersection. The car’s velocity is shown in the following table.

(a) Use a left sum to approximate the total distance the car has traveled over the 12 second interval.
(b) Is your answer in part (a) a lower or upper estimate? How can you tell?
(c) Use a right sum to approximate the total distance the car has traveled over the 12 second interval.
(d) Is your answer in part (c) a lower or upper estimate? How can you tell?
(e) Using your answers in parts (a) and (c), find a better estimate for the total distance the car has traveled.

Transcribed Image Text:

Time since brakes applied (seconds) 0 velocity (ft/sec) 3 6 9 12 80 62 47 32 22 نرا