# 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 $$A$$, and jogs around the park to a point $$B$$, diametrically opposite to $$A$$. During his jog, how many minutes after starting from $$A$$, does the ratio between the jogger's distance and the jogger's displacement reach a maximum?

Details:

Take $$\pi\approx 3.14$$

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

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