MathDB

The velocities of a submerged and surfaced submarine are, respectively,

v

and

kv

. It is situated at a point

P

30

miles from the center

O

of a circle of

60

mile radius. The surveillance of an enemy squadron forces him to navigate submerged while inside the circle. Discuss, according to the values of

k

, the fastest path to move to the opposite end of the diameter that passes through

P

. (Consider the case particular

k =\sqrt5

Problem Statement