- #1

karush

Gold Member

MHB

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$\textsf{The following equations each describe the motion of a particle.}\\$

$\textsf{For which path is the particle's velocity vector always orthogonal to its acceleration vector?}$

$\begin{align*} \displaystyle

(1) r(t)&=t^8i+t^5j\\

(2) r(t)&=\cos(8t)i+\sin(2t)j\\

(3) r(t)&=ti+t^3j\\

(4) r(t)&=\cos{(10t)}i+\sin(10t)j\\

\end{align*}$I presume this would mean a constant value?