A river is flowing from W to E with a speed 5 m / min. A man can swim in still waters at a velo

step 1 In this question we will learn about some basic concept of the vectors. The question is, a river

A river is flowing from W to E with a speed 5 m / min. A...

A river is flowing from $\mathrm{W}$ to $\mathrm{E}$ with a speed $5 \mathrm{~m} / \mathrm{min}$. A man can swim in still waters at a velocity $10 \mathrm{~m} / \mathrm{min}$. In which direction should a man swim to take the shortest path to reach the south bank? (A) $30^{\circ}$ East of South (B) $60^{\circ}$ East of North (C) South (D) $30^{\circ}$ West of North

A river is flowing from $\mathrm{W}$ to $\mathrm{E}$ with a speed $5 \mathrm{~m} / \mathrm{min}$. A man can swim in still waters at a velocity $10 \mathrm{~m} / \mathrm{min}$. In which direction should a man swim to take the shortest path to reach the south bank?
(A) $30^{\circ}$ East of South
(B) $60^{\circ}$ East of North
(C) South
(D) $30^{\circ}$ West of North

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Drift Cancellation (Current Compensation)

Drift cancellation, or current compensation, is a strategy used to counteract the lateral effect of a moving medium. By aiming in a direction that provides a component against the current, one can neutralize the drift and ensure that the resultant motion follows the intended course.

Relative Velocity

Relative velocity involves understanding how the velocity of an object, when measured relative to a moving medium (like water or air), is the vector sum of its own speed and that of the medium. This concept is widely used to determine the actual path and effective speed of an object when external factors like current or wind are present.

Vector Decomposition

Vector decomposition is the process of breaking a velocity vector into its orthogonal (typically horizontal and vertical) components. This technique is essential in solving problems where different directions must be analyzed separately, such as canceling out the drift caused by a current while swimming or flying.

Optimization in Navigation

Optimization in navigation focuses on planning the most efficient route to reach a destination. In the presence of external forces like a current or wind, choosing the correct direction minimizes unnecessary travel, reducing the distance or time required to reach the target.

Transcript

Please give Ace some feedback