AP Extra Credit Solution

Here are two solutions to finding the theta required for a given delta x and delta y  and initial speed.   Mine starts with the ratio of x and y, and Charles begins with  an equation for x.

The second part of my solution owes itself to Charles' reminding me that 1/(cos squared)

 = tan squared plus 1. Thanks to this we both end up with an explicit equation for tan theta from which you can find theta.

http://h1.ripway.com/DrCherdack/Theta%20by%20Charles.doc

http://h1.ripway.com/DrCherdack/Theta%20GeneralSoln.doc