(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

This is a problem about an aircraft flying above a cannon which is capable of firing in any direction. The plane's height, velocity and the speed of the projectile fired by the cannon are given (I am not trying to get help in solving the problem, so the numbers are not given). I am supposed to find the time duration when the plane is at risk of get hit. I understood the problem, but my query is about the derivaiton of the formula for getting the area of the projectile's trajectory

2. Relevant equations

[tex]y = x tan \Theta - gx^2 / 2 u^2 cos^2\Theta[/tex]

3. The attempt at a solution

I know that [tex]tan \Theta = y/x[/tex], but why are we reducing the second component from this area? Does this have something do with the shape of the path of the projectile being a parabola?

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# Homework Help: Derivation of area of trajectory of projectile

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