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The function s = -t° + 9t - 27t, 0sts3, gives the position of a body moving on a coordinate line, with s in meters and t in seconds. a. Find the body's displacement and average velocity for the given time interval. b. Find the body's speed and acceleration at the endpoints of the interval. c. When, if ever, during the interval does the body change direction? What is the average velocity for the given time interval? m/s (Simplify your answer.) b. What is the body's speed at t= 0? m/s (Simplify your answer.) What is the body's speed at t= 3? m/s (Simplify your answer.) What is the body's acceleration at t= 0? m/s2 (Simplify your answer.) What is the body's acceleration at t= 3? m/s2 (Simplify your answer.) c. When, if ever, during the interval does the body change direction? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. t= sec O B. There is no solution. Click to select your answer(s). Save for Later

The function s = -t° + 9t - 27t, 0sts3, gives the position of a body moving on a coordinate line, with s in meters and t in seconds. a. Find the body's displacement and average velocity for the given time interval. b. Find the body's speed and acceleration at the endpoints of the interval. c. When, if ever, during the interval does the body change direction? What is the average velocity for the given time interval? m/s (Simplify your answer.) b. What is the body's speed at t= 0? m/s (Simplify your answer.) What is the body's speed at t= 3? m/s (Simplify your answer.) What is the body's acceleration at t= 0? m/s2 (Simplify your answer.) What is the body's acceleration at t= 3? m/s2 (Simplify your answer.) c. When, if ever, during the interval does the body change direction? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. t= sec O B. There is no solution. Click to select your answer(s). Save for Later

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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The function s = -t° + 9t - 27t, 0sts3, gives the position of a body moving on a coordinate line, with s in meters and t in seconds. a. Find the body's displacement and average velocity for the given time interval. b. Find the body's speed and acceleration at the endpoints of the interval. c. When, if ever, during the interval does the body change direction? What is the average velocity for the given time interval? m/s (Simplify your answer.) b. What is the body's speed at t= 0? m/s (Simplify your answer.) What is the body's speed at t= 3? m/s (Simplify your answer.) What is the body's acceleration at t= 0? m/s2 (Simplify your answer.) What is the body's acceleration at t= 3? m/s2 (Simplify your answer.) c. When, if ever, during the interval does the body change direction? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. t= sec O B. There is no solution. Click to select your answer(s). Save for Later
Transcribed Image Text:The function s = -t° + 9t - 27t, 0sts3, gives the position of a body moving on a coordinate line, with s in meters and t in seconds. a. Find the body's displacement and average velocity for the given time interval. b. Find the body's speed and acceleration at the endpoints of the interval. c. When, if ever, during the interval does the body change direction? What is the average velocity for the given time interval? m/s (Simplify your answer.) b. What is the body's speed at t= 0? m/s (Simplify your answer.) What is the body's speed at t= 3? m/s (Simplify your answer.) What is the body's acceleration at t= 0? m/s2 (Simplify your answer.) What is the body's acceleration at t= 3? m/s2 (Simplify your answer.) c. When, if ever, during the interval does the body change direction? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. t= sec O B. There is no solution. Click to select your answer(s). Save for Later
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