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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