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The range of a projectile fired up the side of a mountain?

At the base of a mountain with a constant slope of

[tex]\phi[/tex], a projectile is fired from a cannon oriented

at an angle of [tex]\theta[/tex].

What [tex]\theta[/tex] will result in the maximum range up the

side of the mountain?

What is this maximum range??

- air resistance can be neglected.

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As a starting point I'm looking at

[tex]x_{max}=\frac{v_0^2sin2\alpha}{g}[/tex]

But am not clear about next steps.

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# The range of a projectile fired up the side of a mountain?

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