The function s= - +³ + 3t² -3t, 0 st≤ 4, 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? a. What is the body's displacement for the given time interval? m (Simplify your answer.) "

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 70E
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The
function s = - +³ + 3t² - 3t, 0 st≤ 4, 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?
a. What is the body's displacement for the given time interval?
0 m (Simplify your answer.)
Transcribed Image Text:The function s = - +³ + 3t² - 3t, 0 st≤ 4, 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? a. What is the body's displacement for the given time interval? 0 m (Simplify your answer.)
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