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 \(\frac{Distance}{Displacement}\)
by
Nanayaranaraknas Vahdam