The position of an object moving along a line is given by the function s(t) = – 6t +36t. Find the average velocity of the object over the following intervals. (a) [1, 10] (c) [1, 8] (b) [1, 9] (d) [1, 1+ h] where h>0 is any real number. (a) The average velocity of the object over the interval [1, 10] is -30. (b) The average velocity of the object over the interval [1, 9] is.
The position of an object moving along a line is given by the function s(t) = – 6t +36t. Find the average velocity of the object over the following intervals. (a) [1, 10] (c) [1, 8] (b) [1, 9] (d) [1, 1+ h] where h>0 is any real number. (a) The average velocity of the object over the interval [1, 10] is -30. (b) The average velocity of the object over the interval [1, 9] is.
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
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![The position of an object moving along a line is given by the function s(t) = – 6t +36t. Find the average velocity of the object over the following intervals.
(a) [1, 10]
(c) [1, 8]
(b) [1, 9]
(d) [1, 1+ h] where h>0 is any real number.
(a) The average velocity of the object over the interval [1, 10] is -30.
(b) The average velocity of the object over the interval [1, 9] is.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd1ba6bbb-fc76-4ff1-897e-f936bd2be4a6%2Fd0fb8cef-623f-4758-96c6-5130b7faecb4%2Fs0d7i2b.jpeg&w=3840&q=75)
Transcribed Image Text:The position of an object moving along a line is given by the function s(t) = – 6t +36t. Find the average velocity of the object over the following intervals.
(a) [1, 10]
(c) [1, 8]
(b) [1, 9]
(d) [1, 1+ h] where h>0 is any real number.
(a) The average velocity of the object over the interval [1, 10] is -30.
(b) The average velocity of the object over the interval [1, 9] is.
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