Finding Range of the Projectile

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    Projectile Range
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Discussion Overview

The discussion revolves around finding the range of a projectile that crosses two specific points, P1(a,b) and P2(b,a). Participants are exploring the mathematical relationships involved in determining the angle of projection, theta, based on these points.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • Abhi presents an equation relating the projectile's trajectory to the angle of projection, theta, and seeks assistance in determining theta from the given points.
  • Some participants seek clarification on the definition of "range," questioning whether it refers to vertical distance between y-values or horizontal distance between x-values.
  • Abhi clarifies that by "range," they mean the horizontal distance traveled by the projectile, specifically the difference in x-values from launch to landing.
  • Another participant expresses confusion regarding the equation provided by Abhi, questioning its form and correctness.

Areas of Agreement / Disagreement

There is no consensus on the interpretation of "range," and participants have differing views on the equation presented. The discussion remains unresolved regarding the correct formulation and approach to find theta.

Contextual Notes

Participants have not fully defined the assumptions behind the projectile motion equations, and there are unresolved questions about the equation's structure and its application to the problem.

Abhi13
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Hi All,

I have a question regarding finding the range of the projectile given the projectile crosses points P1(a,b) and P2(b,a).

I know any point on the projectile curve satisfies following equation:
y = x.tan \{theta} (1- (range/x))

therefore, the only thing remains to be found out is tan \{theta}.

Can anyone please direct me in finding \theta given these two point- P1(a,b) and P2(b,a).

Thanks,
Abhi
 
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By range do you mean from the lowest y value to the highest y value ,
or the difference between the x values .
Like when i throw a golf ball the range it traveled over the ground . In that sense
 
cragar said:
By range do you mean from the lowest y value to the highest y value ,
or the difference between the x values .
Like when i throw a golf ball the range it traveled over the ground . In that sense

By range i mean the distance it traveled in the horizontal direction. Thats the difference between the values of x from where it took off to where it will land..
 
I'm confused by your equation you have .
is it y=x*tan(q)(1-r/x)
 

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