The speed of a runner increased steadily during the first three seconds of a race. Her speed at haif-second Intervals is given in the table. Find lower and upoe estimates for the distance that she traveled during these three seconds 34.56 x t (smaller value) x (larger value) 44.56 E(s) 00.5 1.0 1.5 2.0 2.5 3.0 v (/s) 0 6.7 11.2 14.1 17.5 19.8 20

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter5: Polynomial And Rational Functions
Section5.8: Modeling Using Variation
Problem 49SE: For the following exercises, use Kepler’s Law, which states that the square of the time, T, required...
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The speed of a runner Increased steadily during the first three seconds of a race. Her speed at half-second Intervals is glven in the table. Find lower and upper
estimates for the distance that she traveled during these three seconds.
34.56
x t (smaller value)
x t (larger value)
44.56
t (s)
0 0.5 1.0 1.5 2.0 2.5 3.0
v (t/s) 0 6.7 11.2 14.1 17.5 19.8 20
Enhanced Feedback
iPlease try again. To estimate the distance the runner traveled during an Interval of time, find an estimate for the area under the velocity griaph using
.rectangles. Since the runner's speed is increasing during the Interval, use left endpoints for an underestimate and right endpoints for an overestimate
Transcribed Image Text:The speed of a runner Increased steadily during the first three seconds of a race. Her speed at half-second Intervals is glven in the table. Find lower and upper estimates for the distance that she traveled during these three seconds. 34.56 x t (smaller value) x t (larger value) 44.56 t (s) 0 0.5 1.0 1.5 2.0 2.5 3.0 v (t/s) 0 6.7 11.2 14.1 17.5 19.8 20 Enhanced Feedback iPlease try again. To estimate the distance the runner traveled during an Interval of time, find an estimate for the area under the velocity griaph using .rectangles. Since the runner's speed is increasing during the Interval, use left endpoints for an underestimate and right endpoints for an overestimate
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