Suppose a particle moves back and forth along a straight line with velocity v ( t ), measured in feet per second, and acceleration a ( t ). (a) What is the meaning of ∫ 60 120 v ( t ) d t ? (b) What is the meaning of ∫ 60 120 | v ( t ) | d t ? (c) What is the meaning of ∫ 60 120 a ( t ) d t ?
Suppose a particle moves back and forth along a straight line with velocity v ( t ), measured in feet per second, and acceleration a ( t ). (a) What is the meaning of ∫ 60 120 v ( t ) d t ? (b) What is the meaning of ∫ 60 120 | v ( t ) | d t ? (c) What is the meaning of ∫ 60 120 a ( t ) d t ?
Solution Summary: The author explains the integral of the particle's velocity, which is measured in feet per second, and its acceleration.
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3. We'd like to know the first time when the population reaches 7000 people. First, graph the
function from part (a) on your calculator or Desmos. In the same window, graph the line y =
7000. Notice that you will need to adjust your window so that you can see values as big as
7000! Investigate the intersection of the two graphs. (This video shows you how to find the
intersection on your calculator, or in Desmos just hover the cursor over the point.) At what
value t> 0 does the line intersect with your exponential function? Round your answer to two
decimal places. (You don't need to show work for this part.) (2 points)
Chapter 5 Solutions
Bundle: Calculus: Early Transcendentals, Loose-Leaf Version, 8th + WebAssign Printed Access Card for Stewart's Calculus: Early Transcendentals, 8th Edition, Multi-Term
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