How Far Did the Football Travel in Total Displacement?

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Homework Help Overview

The discussion revolves around a vector problem involving the displacement of a football during a play. The scenario describes a quarterback's movements on the field, including running backward, sideways, and throwing a pass, leading to questions about calculating the resultant displacement using the Pythagorean theorem.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the application of the Pythagorean theorem to find the resultant displacement, with initial calculations leading to different interpretations of the distances involved. There is an exploration of the diagrammatic representation of the problem to clarify the relationships between the movements.

Discussion Status

The conversation is ongoing, with participants offering different calculations and interpretations of the distances involved. Some guidance is provided through diagrammatic reasoning, but there is no explicit consensus on the final displacement value yet.

Contextual Notes

There seems to be some confusion regarding the distances used in the calculations, particularly the correct interpretation of the quarterback's movements and the resultant vector. The problem is framed within the context of a homework assignment, which may impose specific constraints on how the solution should be approached.

soul814
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another vector problem (check if I'm correct)

A quarterback takes the ball from the line of scrimmage, runs backward for 10.0 yards, then runs sideways parallel to the line of scrimmage for 15.0 yards. At this point, he throws a 50 yard forward pass straight downfield, perpendicular to the line of scrimmage. What is the magnitude of the football’s resultant displacement?

Is it about 52? Since I used [tex]a^2 + b^2 = c^2[/tex]

[tex]50^2 + 15^2 = c^2[/tex]
 
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the figure i get in my head is something like
A |...
...|...|C
B |___|D

AB = 50
CD = 10
BD = 15
u are supposed to find AC

-- AI
 
ahh after looking at your diagram it should be

[tex]40^2 + 15^2 = c^2[/tex]

about 43 then
 
yeap!

-- AI
 

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