Problem: A projectile is fired in such a way that its horizontal range is equal to 14 times its maximum height. What is the angle of projection?
The work I have done thus far:
Horizontal range , where is the maximum height.
The Cartesian coordinates for the maximum height are given by . So, since , the coordinates are .
This gives a right triangle with height and base
This is basically where I'm at. I don't know what to do now or even if I'm heading in the right direction.
P.S. is there a sticky thread or web page that shows a list/tutorial on using the math codes/formatting. The only format I know how to use are the [ math ] tags but they are not always working intuitively for me.
For example, I had to use arctan instead of tan^-1 because the tags did not format ^-1 as in superscript as an exponent would be—I know it's not an exponent in this case, it signifies the "inverse of", but you get my drift. Also, I do not know how to display the "degrees" symbol or Greek letters. Is there a way to do this.
I would list relevant formulas for and , but I wouldn't know how to format them. Most of them can be found here.