Problem 24E

24. A particle moves along the curve $y=2 \sin (\pi x / 2)$. As the particle passes through the point $\left(\frac{1}{3}, 1\right)$, its $x$ -coordinate increases at a rate of $\sqrt{10} \mathrm{~cm} / \mathrm{s}$. How fast is the distance from the particle to the origin changing at this instant?

 

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