Horizontal component of the superhero’s displacement?

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Homework Help Overview

The problem involves a superhero's displacement while flying from a tall building at an angle below the horizontal. Participants are tasked with determining both the horizontal and vertical components of this displacement.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the use of trigonometric functions, specifically sine and cosine, to find the horizontal and vertical components of the displacement. Questions arise regarding the correct application of angles and whether to use negative values for angles below the horizontal.

Discussion Status

The discussion is active, with participants exploring different methods to calculate the vertical component based on the horizontal component already identified. Some guidance has been offered regarding the use of sine and cosine functions, but there is no explicit consensus on the approach to take.

Contextual Notes

There is some confusion regarding the angle's sign and its implications for calculations. Participants are also navigating the relationship between the components and the original magnitude of the displacement vector.

Thousands
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1.A superhero flies 340 m from the top of a
tall building at an angle of 22 ◦ below the
horizontal.
What is the horizontal component of the
superhero’s displacement?
Answer in units of m. What is the vertical component of the super-
hero’s displacement?
Answer in units of m.




2. Sin A, Cos A, Tan A



3. The horizontal component is 315m.

How do i find the vertical component?
 
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you use sine instead of cosine. make sure you plug in -22 degrees, though, since the angle given is "below the horizontal"
 


to find the vertical. do i just do (sin -22) and then multiply that by the horizontal component (315)?
 


Thousands said:
to find the vertical. do i just do (sin -22) and then multiply that by the horizontal component (315)?

no.

you need to find out what the magnitude of the vector is and then find the y component by multiplying it by sine.

Can you write out the equation that gives the x-component? with that equation, do you think you could solve for the original magnitude given an x-component and an angle?
 
Last edited:


well i found the horizontal component by putting Cos(22) and then i multiplied that answer with the 340m
 

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