Projectile Motion: Understanding Theoretical vs. Experimental Values

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Homework Help Overview

The discussion revolves around understanding the comparison between experimental and theoretical values in the context of projectile motion. The original poster seeks clarification on what constitutes a theoretical line and how to effectively compare it with their experimental measurements of horizontal distance and velocity.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the definition of a theoretical line and its relation to the equations of motion. Questions arise regarding the specific measurements taken and how to derive or visualize the theoretical line for comparison with experimental data.

Discussion Status

The conversation is ongoing, with participants exploring various interpretations of the theoretical line and how to plot it based on the experimental values. Some guidance has been offered regarding the use of equations to derive theoretical values, but there is no explicit consensus on the best approach to take.

Contextual Notes

Participants note the absence of provided theoretical values, which adds complexity to the comparison process. The original poster has a plot of experimental values but is uncertain about how to determine the theoretical line for analysis.

Touchme
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I have a lab question that states "does your experimental value agree with the theoretical line for projectile motion?" What is a theoretical line and how do I compare these value.

I thought a theoretical line is x=V(sq.root(2h/g)), but I am not sure.
 
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What value did you measure?
 
i measured the horizontal distance and and horizontal velocity.
 
Touchme said:
i measured the horizontal distance and and horizontal velocity.

So, which is the equation of the displacement in the x-direction? Which is the equation of the horizontal component of velocity? Use these equations to compare your test results with the 'theoretical' values.
 
The problem is that the theoretical values are not given. All I have is the equation and a plot of my experimental values. How do I determine the theoretical line that I need to compare my values?
 
Well, I guess you have a plot of your experimental values dependent on time, right? So, just plug the 'times' into the 'theoretical' equations and compare the results. I hope I'm not missing something big here.
 
It is not a plot dependent on time. The plot is x (distance) vs. horizontal velocity. I plugged the values into the equation above and compared the values. But, is there a way I can draw or determine the theoretical line?
 
Touchme said:
It is not a plot dependent on time. The plot is x (distance) vs. horizontal velocity. I plugged the values into the equation above and compared the values. But, is there a way I can draw or determine the theoretical line?

Horizontal velocity is constant and equals vx = v0*cosA, where v0 is the initial velocity and A is its angle. Since it is constant during time, it is represented as a horizontal line in a t-vx coordinate system. Maybe this is what you mean by 'theoretical' line.
 
how is it represented in a X vs Vx coordinate system?
 
  • #10
Touchme said:
how is it represented in a X vs Vx coordinate system?

The same. vx is constant for every point x.
 
  • #11
hmm.. i think i got it thanks
 

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