Suppose that a particle moving along the x-axis encountersa resisting force that results

Chapter 8, Problem 66

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Suppose that a particle moving along the x-axis encounters a resisting force that results in an acceleration of \(a=d v / d t=-0.02 \sqrt{v}\). Given that \(x=0 \mathrm{~cm}\) and \(v=9 \mathrm{~cm} / \mathrm{s}\) at time \(t=0\), find the velocity v and position x as a function of t for \(t \geq 0\).


Equation Transcription:

 

Text Transcription:

a=dv/dt=-0.02 sqrt v

x=0 cm

v=9 cm/s

t=0

t greater than or equal to 0

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