The displacement function of the motion of a particle is given as t3 - 2t² + 4t – 6 s(t) 3 Assuming the reference of s(t) is the origin. Find the following: a. The acceleration function a(t); b. The time interval during which the particle is accelerating regardless of the direction;

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.6: Proportion And Variation
Problem 18E
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The displacement function of the motion of a particle is given as
t3
s(t) =
- 2t² + 4t – 6
3
Assuming the reference of s(t) is the origin. Find the following:
a. The acceleration function a(t);
b. The time interval during which the particle is accelerating
regardless of the direction;
Transcribed Image Text:The displacement function of the motion of a particle is given as t3 s(t) = - 2t² + 4t – 6 3 Assuming the reference of s(t) is the origin. Find the following: a. The acceleration function a(t); b. The time interval during which the particle is accelerating regardless of the direction;
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