How to find the optimum angle for takeoff for ski jump using

[canycorns44]

Homework Statement

I need to find how to find the optimum angle for take off on the ski flying hill using projectile motion. and why?

Homework Equations

The Attempt at a Solution

[/B]
I'm just confused, because would I just use all the formulas above to solve the problem? or do I have to create another formula?
The optimum angle would result in the maximum horizontal range, right?
We know the time of flight = 2Vyi/g so the range = Vxi*2Vyi/g = 2Vi²/g *sinΘ*cosΘ =
R(Θ) = 2Vi²/g *sinΘ*cosΘ = Vi²/g *sin2Θ

 

[haruspex]

The first and last equations you quote assume landing at the same height as take-off. Is that case in your question?
(Always best to quote the whole question word for word in your post, in case you have misinterpreted something.)

 

[canycorns44]

so how would I write it if the landing it different from the takeoff?

 

[haruspex]

so how would I write it if the landing it different from the takeoff?

Go back to the more fundamental ("SUVAT") equations from which those are derived.