lease help with part b

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
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please help with part b
The position of an object moving along a line at any time t > 0 is given by the function
s(t) = t3 – 9t2 + 18, where s is measured in feet and t is measured in seconds.
A) Find the velocity of the particle at t = 4.
B) Find the acceleration of the particle att = 4.
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.
Transcribed Image Text:The position of an object moving along a line at any time t > 0 is given by the function s(t) = t3 – 9t2 + 18, where s is measured in feet and t is measured in seconds. A) Find the velocity of the particle at t = 4. B) Find the acceleration of the particle att = 4. 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.
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