Solved: In Exercises 1–4, r(t) is the position of a
Chapter 12, Problem 2E(choose chapter or problem)
In Exercises \(1–4\), \(r(t)\) is the position of a particle in the \(xy-plane\) at time \(t\). Find an equation in \(x\) and \(y\) whose graph is the path of the particle. Then find the particle’s velocity and acceleration vectors at the given value of \(t\).
2. \(r(t)=\frac{t}{t+1} i+\frac{1}{r} j, t=-1 / 2\)
Equation Transcription:
Text Transcription:
1-4
r(t)
xy-plane
t
x
y
r(t) = t/t+1 i + 1/t j, t = -1/2
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