3. Suppose you are traveling at 50mph. (a) How far do you travel in 1/2 hour? (b) If v(t) represents your velocity at time t, then v(t) = 50 (the function is constant). Sketch v(t) on the interval [0, 1]. (c) What is the area under the curve of v(t) on the interval [0,]?
3. Suppose you are traveling at 50mph. (a) How far do you travel in 1/2 hour? (b) If v(t) represents your velocity at time t, then v(t) = 50 (the function is constant). Sketch v(t) on the interval [0, 1]. (c) What is the area under the curve of v(t) on the interval [0,]?
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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![3. Suppose you are traveling at 50mph.
(a) How far do you travel in 1/2 hour?
(b) If v(t) represents your velocity at time t, then v(t) = 50 (the function is constant). Sketch v(t) on the interval
[0, 1].
(c) What is the area under the curve of v(t) on the interval [0, ]?
(d) How far do you travel after t hours? Write down a function d(t) which represents the distance traveled after
t hours. Sketch d(t) on the interval [0,1]. What is d() - d(0)?
(e) How do the functions v(t) and d(t) relate? (Hint: derivatives)
(f) In your sketch of d(t), what is the slope of the tangent line at t = }? Does it equal d'()? Does it equal v()?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2a874603-d28a-4420-b369-9729c939fed8%2F3bad8cec-8c35-47e4-b4e4-285bb7a7cfcd%2F4d1grft_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3. Suppose you are traveling at 50mph.
(a) How far do you travel in 1/2 hour?
(b) If v(t) represents your velocity at time t, then v(t) = 50 (the function is constant). Sketch v(t) on the interval
[0, 1].
(c) What is the area under the curve of v(t) on the interval [0, ]?
(d) How far do you travel after t hours? Write down a function d(t) which represents the distance traveled after
t hours. Sketch d(t) on the interval [0,1]. What is d() - d(0)?
(e) How do the functions v(t) and d(t) relate? (Hint: derivatives)
(f) In your sketch of d(t), what is the slope of the tangent line at t = }? Does it equal d'()? Does it equal v()?
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