Vectors Question using Calculus -- Swimmer crossing a River

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Homework Help Overview

The discussion revolves around a physics problem involving vectors and relative motion, specifically focusing on a swimmer named Bob who is attempting to cross a river while accounting for the river's current. The problem presents questions about Bob's speed relative to the ground, the direction he must swim, and the time it will take to reach the opposite bank.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants explore the use of vector diagrams and the Pythagorean theorem to analyze Bob's swimming direction and speed. Questions arise about the relationship between Bob's swimming direction and the river's current, as well as the implications of aiming directly across the river.

Discussion Status

Participants are actively engaging with the problem, questioning assumptions about swimming direction and the nature of the resultant velocity vector. Some have suggested drawing diagrams to visualize the situation, while others are considering the implications of different swimming angles relative to the current.

Contextual Notes

There is an emphasis on the need for a diagram to clarify the relationship between Bob's swimming velocity and the river's current. Participants note that the problem does not specify whether Bob swims against or with the current, leading to further exploration of the necessary angle for his swimming direction.

  • #31
ttpp1124 said:
Relative meaning in the direction of.

I know this is an old thread, but this just bothered me. Relative to does not mean 'in the direction of', relative to implies a subtraction i.e. 'from the perspective of'. A part of a vector in a certain direction is something different, i.e. a vector component / vector projection.
 

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