Here is my problem, can anyone help me out?(adsbygoogle = window.adsbygoogle || []).push({});

Prove the maximum range of a skier going down a ski jump is given by

(theta) = 45degrees - phi/2 , where theta = optimal launch angle , phi = slope angle of take off with respect to the incline of the hill.

I have the following equations to use

Xf = Vi*cos(theta)*t = d*cos(phi)

Yf = Vi*sin(theta)*t - (1/2)g*t^2 = -d*sin(phi)

Where, Xf= final x component, Yf= final y component, Vi = velocity at launch, t= time jumper is in air, g= grav. constant, d = distance travelled along the inlcine of the hill

I am trying to eliminate t in the above equations and then differentiate to maximize d in terms of theta.

Any ideas how to do this? What is a good first step? Any help you can give will be greatly appreciated.

Thanx

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# Homework Help: Trouble with Proof of Optimal Launch Angle

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