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Suppose the position of an object moving horizontally after t seconds is given by the following function s a. Graph the position function. b. Find and graph the velocity function. When is the object stationary, moving to the right, and moving to c. Determine the velocity and acceleration of the object at t = 1. d. Determine the acceleration of the object when its velocity is zero. e. On what intervals is the speed increasing? f(t) = 31 - 4t; 0

Suppose the position of an object moving horizontally after t seconds is given by the following function s a. Graph the position function. b. Find and graph the velocity function. When is the object stationary, moving to the right, and moving to c. Determine the velocity and acceleration of the object at t = 1. d. Determine the acceleration of the object when its velocity is zero. e. On what intervals is the speed increasing? f(t) = 31 - 4t; 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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Suppose the position of an object moving horizontally after t seconds is given by the following function s = f(t), where s is measured in feet, with s>0 corresponding to positions right of the origin. a. Graph the position function. b. Find and graph the velocity function. When is the object stationary, moving to the right, and moving to the left? c. Determine the velocity and acceleration of the object at t = 1. d. Determine the acceleration of the object when its velocity is zero. e. On what intervals is the speed increasing? f(t) = 31 - 4t; 0st<5 a. Graph the position function. Choose the correct graph below. O A. O B. C. OD. As 40- AS 80- AS 80- As 40- -40- -80- -80- -40- b. v(t) =
Transcribed Image Text:Suppose the position of an object moving horizontally after t seconds is given by the following function s = f(t), where s is measured in feet, with s>0 corresponding to positions right of the origin. a. Graph the position function. b. Find and graph the velocity function. When is the object stationary, moving to the right, and moving to the left? c. Determine the velocity and acceleration of the object at t = 1. d. Determine the acceleration of the object when its velocity is zero. e. On what intervals is the speed increasing? f(t) = 31 - 4t; 0st<5 a. Graph the position function. Choose the correct graph below. O A. O B. C. OD. As 40- AS 80- AS 80- As 40- -40- -80- -80- -40- b. v(t) =
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