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College Algebra (MindTap Course List)

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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10. Find the position function s(t) given acceleration a(t) = 2t if v(2) = 0 and s(2)=1.

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4. The function a(t) = 3t² – 20t + 27 describe the acceleration of a particle moving along a line. If v(t)=0 at x=1, 3, and 6, explain when the particle changes direction from left to right.
A particle is moving according to the given acceleration functiona(t) = 12t2 + 6t − 6.If s(0) = 4, and s(1) = 2, find the position function s(t) of the particle.
1.) Let s(t)= tlnt-t be the displacement of a particle (in feet) from the origin after t seconds. a.) Find the velocity of the particle at 5 seconds. (Show all your work and include units) b.) Find the acceleration of the particle after 5 seconds. (Show all your work and include units)
The acceleration function a(t) for a particle is a (t) = 48 (t+2)² with initial velocity v(0) = 0 and initial position x(0) = 14. Find the velocity function v(t) and the position function x(t) for this particle.

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