The function s= -t³ + 3t² - 3t, 0≤t≤ 3, gives the position of a body moving on acoordinate 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.)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 correctchoice below and, if necessary, fill in the answer box to complete your choice.OA. t= secB. There is no solution.

The given function is:s(t)=-t3+3t2-3t ; 0≤t≤3

Answered: The function s= - +³+3t²-3t, 0≤t≤ 3,…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.5: Trigonometric Graphs

Problem 57E

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