The position function of a particle moving along the -axis is where and are positive
Chapter 5, Problem 141(choose chapter or problem)
Horizontal Motion The position function of a particle moving along the x-axis is \(x(t)=A e^{k t}+B e^{-k t}\) where A, B, and k are positive constants.
(a) During what times t is the particle closest to the origin?
(b) Show that the acceleration of the particle is proportional to the position of the particle. What is the constant of proportionality?
Text Transcription:
x(t) = Ae^kt + Be^-kt
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