Consider the position function s(t)= - 16t+96t representing the position of an object moving vertically along a line. Sketch a graph of s with the secant line passing through (0.75,s(0.75)) and (3,s(3)). Determine the slope of the secant line and explain its relationship to the moving object. H Sketch the graph of s with the secant line. Choose the correct graph below. O A. OB. OC. Q 144- 144- 144- 5 63- 0.75 3 The slope of the secant line is msec As 63- As 63- 0.75 (Type an integer or a decimal.) 5 0.75

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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Complete all parts please
0.15
The slope of the secant line is msec
(Type an integer or a decimal.)
What is the relationship of the slope to the moving object?
OA. The slope is the average velocity of the object over the interval [0.75,3].
OB. The slope is the maximum velocity of the object.
OC. The slope is the average velocity of the object over the interval [63,144].
OD. The slope is the instantaneous velocity when t = 3.
Transcribed Image Text:0.15 The slope of the secant line is msec (Type an integer or a decimal.) What is the relationship of the slope to the moving object? OA. The slope is the average velocity of the object over the interval [0.75,3]. OB. The slope is the maximum velocity of the object. OC. The slope is the average velocity of the object over the interval [63,144]. OD. The slope is the instantaneous velocity when t = 3.
Consider the position function s(t)= - 16t² +96t representing the position of an object moving vertically along a line. Sketch a graph of s with the secant line passing
through (0.75,s(0.75)) and (3,s(3)). Determine the slope of the secant line and explain its relationship to the moving object.
Sketch the graph of s with the secant line. Choose the correct graph below.
O A.
OB.
OC.
Q
144-
144-
Q
G
63
63-
0.75
The slope of the secant line is msec
As
144-
63
As
0.75
(Type an integer or a decimal.)
As
0.75
Transcribed Image Text:Consider the position function s(t)= - 16t² +96t representing the position of an object moving vertically along a line. Sketch a graph of s with the secant line passing through (0.75,s(0.75)) and (3,s(3)). Determine the slope of the secant line and explain its relationship to the moving object. Sketch the graph of s with the secant line. Choose the correct graph below. O A. OB. OC. Q 144- 144- Q G 63 63- 0.75 The slope of the secant line is msec As 144- 63 As 0.75 (Type an integer or a decimal.) As 0.75
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