Triangle calculation for the resultant velocity

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Homework Help Overview

The discussion revolves around calculating the resultant velocity from two given velocities, specifically 30.8 m/s and 7.7 m/s. The context involves understanding vector addition in a two-dimensional space, particularly in relation to a right triangle formed by these velocities.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the calculation of the resultant velocity using the Pythagorean theorem and the angle formed by the velocities. Questions about resolving forces in two dimensions are also raised, indicating a need for deeper understanding of vector components.

Discussion Status

Some participants have provided calculations related to the resultant velocity and the angle, suggesting a mathematical approach to the problem. However, there is no explicit consensus on the interpretation of the problem or the methods to be used, as some participants are still seeking clarification.

Contextual Notes

The original poster expresses confusion and requests assistance, indicating that they may be struggling with the foundational concepts of vector resolution in two dimensions.

DeanH87
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Homework Statement
Hi, Can someone help with the below calculation. Sample attached
Relevant Equations
See Below
1591845692283.png
Top example- How do I get to 31.7 m/s from 30.8 and 7.7? This is way over my head and need help. Thanks in advance
Dean
 
Last edited by a moderator:
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##31.748 = \sqrt { 30.8^2 + 7.7^2 }##
It is the length of the hypotenuse of the right triangle formed by the horizontal and vertical numbers.
And the 14 deg is the angle off of horizontal that those two velocities make for the combined velocity.
## 14.03 = (180/\pi) * atan2(7.7, 30.8) ##
 
Last edited:
Great! Thanks
 
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DeanH87 said:
Homework Statement:: Hi, Can someone help with the below calculation. Sample attached
Relevant Equations:: See Below

View attachment 264461Top example- How do I get to 31.7 m/s from 30.8 and 7.7? This is way over my head and need help. Thanks in advance
Dean
What do you know about resolving forces in 2 dimensions?
 

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