You walk from home due east to school to get a book, and then you walk back west to visit a friend. The figure shows your distance D, in yards, east of home as a function of the time t, in minutes, since you left home. (a) How far away is school? yd (b) At what time do you reach school? The school is first reached in about minutes. (c) At what time(s) are you a distance of 900 yards from home? You are first 900 yards away from home at about minutes and then again at about minutes. (d) Compute the average rate of change in D over the interval from t = 0 to t = 3. yd/min Compute the average rate of change in D over the interval from t = 3 to t = 6. yards per minute Compute the average rate of change in D over the interval from t = 6 to t = 9. yards per minute (e) How is this related to the shape of the graph over the interval from t = 0 to t = 9? This part of the graph ---Select--- concaves down is a straight line concaves up . (f) At what time are you walking back west the fastest? You are walking back west the fastest at about minutes.
You walk from home due east to school to get a book, and then you walk back west to visit a friend. The figure shows your distance D, in yards, east of home as a function of the time t, in minutes, since you left home. (a) How far away is school? yd (b) At what time do you reach school? The school is first reached in about minutes. (c) At what time(s) are you a distance of 900 yards from home? You are first 900 yards away from home at about minutes and then again at about minutes. (d) Compute the average rate of change in D over the interval from t = 0 to t = 3. yd/min Compute the average rate of change in D over the interval from t = 3 to t = 6. yards per minute Compute the average rate of change in D over the interval from t = 6 to t = 9. yards per minute (e) How is this related to the shape of the graph over the interval from t = 0 to t = 9? This part of the graph ---Select--- concaves down is a straight line concaves up . (f) At what time are you walking back west the fastest? You are walking back west the fastest at about minutes.
Chapter1: The Study Of Motion
Section: Chapter Questions
Problem 4P: One mile is equal to 1,609 m. Express this distance in kilometers and in centimeters.
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Question
You walk from home due east to school to get a book, and then you walk back west to visit a friend. The figure shows your distance D, in yards, east of home as a function of the time t, in minutes, since you left home.
(a) How far away is school? yd
(b) At what time do you reach school? The school is first reached in about minutes.
(c) At what time(s) are you a distance of 900 yards from home?
You are first 900 yards away from home at about minutes and then again at about minutes.
(d) Compute the average rate of change in D over the interval from t = 0 to t = 3. yd/min
Compute the average rate of change in D over the interval from t = 3 to t = 6.
yards per minute
Compute the average rate of change in D over the interval from t = 6 to t = 9.
yards per minute
(e) How is this related to the shape of the graph over the interval from t = 0 to t = 9?
(f) At what time are you walking back west the fastest?
You are walking back west the fastest at about minutes.
(b) At what time do you reach school? The school is first reached in about minutes.
(c) At what time(s) are you a distance of 900 yards from home?
You are first 900 yards away from home at about minutes and then again at about minutes.
(d) Compute the average rate of change in D over the interval from t = 0 to t = 3. yd/min
Compute the average rate of change in D over the interval from t = 3 to t = 6.
yards per minute
Compute the average rate of change in D over the interval from t = 6 to t = 9.
yards per minute
(e) How is this related to the shape of the graph over the interval from t = 0 to t = 9?
This part of the graph ---Select--- concaves down is a straight line concaves up .
(f) At what time are you walking back west the fastest?
You are walking back west the fastest at about minutes.
Transcribed Image Text:1200+
900-
600+
300-
3
6
9
12
15
18
1= Time in minutes
D = Distance in yards
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