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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

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 73E
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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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