The Vector Jogger

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 $\frac{Distance}{Displacement}$