The Vector Jogger

Calculus Level 2

A jogger is jogging around a circular park of radius 1 kilometer at a speed of 6.28 kilometers per hour. The jogger starts at some point AA, and jogs around the park to a point BB, diametrically opposite to AA. During his jog, how many minutes after starting from AA, does the ratio between the jogger's distance and the jogger's displacement reach a maximum?

Details:

Take π3.14\pi\approx 3.14

The ratio to be maximized is DistanceDisplacement\frac{Distance}{Displacement}

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