Home
Class 12
PHYSICS
At what angle to the stream should a swi...

At what angle to the stream should a swimmer swim to reach the opposite bank as soon as possible?

Text Solution

Verified by Experts

The correct Answer is:
`alpha=pi//2`

The speed of the swimmer in the direction of the y-axis is a maximum, if the swims perpendicularly to the stream. This obvious, if we use a feference frame fixed relative to water.
Promotional Banner

Similar Questions

Explore conceptually related problems

A swimmer can swim with velocity of 12 km/h in still water. Water flowing in a river has velocity 6 km/h. The direction with respect to the direction of flow of river water he should swim in order to reach the point on the other bank just opposite to his starting point is. (Round off to the Nearest Integer) (Find the angle in degrees)

A swimmer wishes to reach directly opposite point on the other bank of a river,flowing with velocity 4sqrt(2)m/s .The swimmer can swim with 8m/s in still water.The angle with the flow direction he should swim to reach the directly opposite point is (A) 45^(0) (B) 90^(0) (C) 135^(0) (D) 150^(0)

The rowing speed of a man relative to water is 5 kmh^(-1) and the speed of water flow is 3 kmh^(-1) . At angle to the river flow should he head if he wants to reach a point on the other bank, directly opposite to starting point ?

A swimmer can swim with speed 12 m/s in still water. Speed of river is 6 m/s. Find angle at which he should swim with downstream so that he reaches directly opposite point on other side

A man standing on the bank of a river observes that the angle of elevation of the top of a tree just on the opposite bank is 60^(@). The angle of elevation is 30^(@) from a point at a distance y m from the bank. What is the height of the tree?

There are two swimmers who start swimming towards each other from opposite banks of the lake of still water.First time they meet at a point 900 ft from one shore.They cross each other,touch the opposite bank and return. They meet each other again,this time 300 ft from the other shore.What is the width of the lake?