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A steamer plies between two stations A a...

A steamer plies between two stations `A and B` on opposite banks of a river, always following the path `AB`. The distance between stations `A and B` is `1200 m`. The velocity of the current is `sqrt(17) m s^-1` and is constant over the entire width of the river. The line `AB` makes an angle `60^@` with the direction of the flow. The steamer takes `5 min` to cover the distance `AB` and back.
(a) Find the velocity of steamer with respect to water.
(b) In what direction should the steamer move with respect to line `AB` ?

Text Solution

Verified by Experts

The correct Answer is:
(a) `tan^(-1) sqrt((3)/( 17)) `, ( b) `sqrt( 8 5) m//s`
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