Answer
a)0.967 miles
b) the velocity was approximately 120 mi/hr
Work Step by Step
a. Using rectangles to estimate how far the car traveled during the
36 sec it took to reach 142 mi > h.
-- The distance traveled will be the area under the curve. We will use the approximate velocities at the
midpoints of each time interval to approximate this area using rectangles.
Thus,
(20)(0.001) (50)(0.001) (72)(0.001) (90)(0.001) (102)(0.001) (112)(0.001) (120)(0.001)(128)(0.001) (134)(0.001) (139)(0.001) 0.967 miles
b. Roughly telling the seconds did it take the car to reach the
halfway point? About how fast was the car going then?
-- Roughly, after 0.0063 hours, the car would have gone 0.484 miles, where 0.0060 hours 22.7 sec.
At 22.7 sec, the velocity was approximately 120 mi/hr.
