The position of an object moving along a line at any time t 2 0 is given by the function s(t) = t3 - 9t2 + 18, wheres is measured in feet and t is measured in seconds. A) Find the velocity of the particle at t = 4. 972+18

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 7E
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The position of an object moving along a line at any time t 2 0 is given by the function
s(t) = t3 – 9t2 + 18 , where s is measured in feet and tis measured in seconds.
A) Find the velocity of the particle at t = 4.
73-972+18
v(t)= 3€=18+0
v (4)= 3(1)로12(4)
velocity particle --2Y fHs
B) Find the acceleration of the particle att = 4.
alt) = 6t -18
al4)= 6x4-18
Accelerdiozs - 6tt/s=
C) Was the speed of the particle increasing or decreasing at t = 4 ? Justify your answer.
D) For t > 0, find the acceleration when the particle changes direction.
dt
3t2-9x2t + o
d stt) 3+2-18t atay
veloci ty
OFlamingo MathTM (Jean Adams)
Transcribed Image Text:Free Response The position of an object moving along a line at any time t 2 0 is given by the function s(t) = t3 – 9t2 + 18 , where s is measured in feet and tis measured in seconds. A) Find the velocity of the particle at t = 4. 73-972+18 v(t)= 3€=18+0 v (4)= 3(1)로12(4) velocity particle --2Y fHs B) Find the acceleration of the particle att = 4. alt) = 6t -18 al4)= 6x4-18 Accelerdiozs - 6tt/s= C) Was the speed of the particle increasing or decreasing at t = 4 ? Justify your answer. D) For t > 0, find the acceleration when the particle changes direction. dt 3t2-9x2t + o d stt) 3+2-18t atay veloci ty OFlamingo MathTM (Jean Adams)
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