(adsbygoogle = window.adsbygoogle || []).push({}); Rifleman's Rule: Best angle for a projectile up a hill [urgent]

1. The problem statement, all variables and given/known data

A projectile is fired at speed Vo at an elevation angle alpha up a hill of slope beta (alpha>beta). At what angle will the range (L) be maximum?

2. Relevant equations

L=(2Vo^2)/g*(cos(a)/cos(b))*(sin(a)-cos(a)tan(b)) is the distance up the slope that

3. The attempt at a solution

From the above equation we can see that if b=zero, we can maximize the equation by making a=45. If a=b, L=0. The question is, how do we make an equation that maximizes L. I tried integrating and setting the LHS to zero, but that didn't work. I need a relationship between L, b, and a that maximizes.

I'd like no full answers here since it is a homework question, just help as to how to find the relationship.

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# Homework Help: Rifleman's Rule: Best angle for a projectile up a hill [ ]

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