Suppose that a particle moving along the x-axis encountersa resisting force that results
Chapter 8, Problem 65(choose chapter or problem)
Suppose that a particle moving along the x-axis encounters a resisting force that results in an acceleration of \(a=d v / d t=-\frac{1}{32} v^{2}\). If \(x=0 \mathrm{~cm}\) and \(v=128 \mathrm{~cm} / \mathrm{s}\) 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=-1/32v^2
x=0 cm
v=128 cm/s
t=0
t greater than or equal to 0
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