particle moves along a horizontal path with position function s(t) = t³ – 9x² + 24t + 5 here s is measured in meters and t > 0 is measured in seconds. (a) Where is the particle located at the first instance it changed direction? b) At the time t =1 second, is the particle speeding up or slowing down? (c) Find the rate of change of the acceleration of the particle with respect to time

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter3: Motion Along A Straight Line
Section: Chapter Questions
Problem 113CP: The position of a particle moving along the x -axis varies with time according to x(t)=5.0t24.0t3 ....
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A particle moves along a horizontal path with position function
s(t) = t³ – 9x² + 24t + 5
where s is measured in meters and t > 0 is measured in seconds.
(a) Where is the particle located at the first instance it changed direction?
(b) At the time t = 1 second, is the particle speeding up or slowing down?
(c) Find the rate of change of the acceleration of the particle with respect to time.
Transcribed Image Text:A particle moves along a horizontal path with position function s(t) = t³ – 9x² + 24t + 5 where s is measured in meters and t > 0 is measured in seconds. (a) Where is the particle located at the first instance it changed direction? (b) At the time t = 1 second, is the particle speeding up or slowing down? (c) Find the rate of change of the acceleration of the particle with respect to time.
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