8. Tamar rides her bike with velocity v(t) = 10 + 8t - 2t² in feet per second for 0 ≤ t ≤ 7 seconds. (a) Sketch a graph of v(t) for 0 ≤t≤7. (b) What does it mean that v(7) is negative? (c) If Tamar bikes for those 7 seconds, how far from her starting position does she end up?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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8. Tamar rides her bike with velocity v(t) = 10 +8t - 2t² in feet per second for 0 ≤ t ≤7 seconds.
(a) Sketch a graph of v(t) for 0 ≤t≤7.
(b) What does it mean that v(7) is negative?
(c) If Tamar bikes for those 7 seconds, how far from her starting position does she end up?
(d) Extra credit: How far does Tamar travel in those 7 seconds?
Transcribed Image Text:8. Tamar rides her bike with velocity v(t) = 10 +8t - 2t² in feet per second for 0 ≤ t ≤7 seconds. (a) Sketch a graph of v(t) for 0 ≤t≤7. (b) What does it mean that v(7) is negative? (c) If Tamar bikes for those 7 seconds, how far from her starting position does she end up? (d) Extra credit: How far does Tamar travel in those 7 seconds?
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