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1998 #3 (Calculator Okay) The graph of the velocity v(t), in ft/sec, of a car traveling on a straight road, for 0

1998 #3 (Calculator Okay) The graph of the velocity v(t), in ft/sec, of a car traveling on a straight road, for 0

Calculus: Early Transcendentals
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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1998 #3 (Calculator Okay) The graph of the velocity v(t), in ft/sec, of a car traveling on a straight road, for 0 <t < 50, is shown. A table of values for v(t), at 5 second intervals of time t, is shown to the right of the (1)a (feet per second) 90 80 (seconds) 등 70 5. 10 15 20 25 30 35 40 45 50 12 20 30 55 70 78 81 75 60 72 60 50 40 graph. (a) During what intervals of time is the acceleration of the car positive? Give a reason 30 20 10 for your answer. t 5 10 15 20 25 30 35 40 45 50 (b) Find the average acceleration of the car, in ft/second?, (c) Find an approximation for the acceleration of the car, in ft/second², at t = 40. Show the computations you used to arrive Time (seconds) ver the interval 0 < t < 50 at your answer. (d) Approximate the total distance traveled using 5 midpoint rectangles of equal width. Velocity (feet per second)
Transcribed Image Text:1998 #3 (Calculator Okay) The graph of the velocity v(t), in ft/sec, of a car traveling on a straight road, for 0 <t < 50, is shown. A table of values for v(t), at 5 second intervals of time t, is shown to the right of the (1)a (feet per second) 90 80 (seconds) 등 70 5. 10 15 20 25 30 35 40 45 50 12 20 30 55 70 78 81 75 60 72 60 50 40 graph. (a) During what intervals of time is the acceleration of the car positive? Give a reason 30 20 10 for your answer. t 5 10 15 20 25 30 35 40 45 50 (b) Find the average acceleration of the car, in ft/second?, (c) Find an approximation for the acceleration of the car, in ft/second², at t = 40. Show the computations you used to arrive Time (seconds) ver the interval 0 < t < 50 at your answer. (d) Approximate the total distance traveled using 5 midpoint rectangles of equal width. Velocity (feet per second)
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