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 t is measured in seconds.

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Author:Raymond A. Serway, Chris Vuille
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Chapter2: Motion In One Dimension
Section2.3: Acceleration
Problem 2.3QQ: Parts (a), (b), and (c) of Figure 2.10 represent three graphs of the velocities of different objects...
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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 at t = 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:Free Response 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 at t = 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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