Solved: A particle moves along a path modeled by where is a positive constant. (a) Show
Chapter 12, Problem 93(choose chapter or problem)
A particle moves along a path modeled by \(\mathbf{r}(t)=\cosh (b t) \mathbf{i}+\sinh (b t) \mathbf{j}\) where b is a positive constant.
(a) Show that the path of the particle is a hyperbola.
(b) Show that \(\mathbf{a}(t)=b^{2} \mathbf{r}(t)\)
Text Transcription:
r(t)=cosh (b t) i+sinh (b t) j
a(t)=b^2 r(t)
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