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

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1. Mar 8, 2017

### canycorns44

1. The problem statement, all variables and given/known data
I need to find how to find the optimum angle for take off on the ski flying hill using projectile motion. and why?

2. Relevant equations

3. The attempt at a solution

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

Last edited: Mar 8, 2017
2. Mar 8, 2017

### 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.)

3. Mar 8, 2017

### canycorns44

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

4. Mar 8, 2017

### haruspex

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