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## Main Question or Discussion Point

I am teaching AP Physics, and wrote a problem on the board as an example of how to attack a problem. I new the answer would be nasty, but I didn't actually want them to solve it. I only wanted them to reduce the problem to one e.q. and one unknown. I was wondering if there is an analytic solution to the problem, or if it is transcendental.

The form it reduced to was 4=tan(th)*x-1/2*g*x^2*(sec(th))^2/vo^2

Here is the problem:

If a projectile is launched at 10m/s from the coordinates (0,0), what angle would it need to be launched at to pass through the points (4,4)?

Is it a transcendental equation, or is there a analytic solution?

Thanks,

Chris Maness

The form it reduced to was 4=tan(th)*x-1/2*g*x^2*(sec(th))^2/vo^2

Here is the problem:

If a projectile is launched at 10m/s from the coordinates (0,0), what angle would it need to be launched at to pass through the points (4,4)?

Is it a transcendental equation, or is there a analytic solution?

Thanks,

Chris Maness