# Calculus problem #2189

Calculus Level 2

At time $$t$$, the coordinates of a point $$P$$ are given by $$(4 \cos t, 2 \sin t)$$. At time $$t=\frac{\pi}{4}$$, the magnitudes of velocity and acceleration are $$m$$ and $$n$$, respectively. What is $$m^2+n^2$$?

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