Is it possible to find the equations of 2 parabolas intersecting at 2 known points, (0,0) and (50, 3.44) for instance. Looking for quicker way to find angular range of projectile launched from (0,0) and passing through x=50m y=3.44m when launched at 25m/s. I got the right answer by the tedious (but pedagogically fruitful) method of eliminating (t) from X=VoCos@(t) and Y=VoSin@(t)-.5g(t^2) and then solving for the angle. I did it all symbolically resulting in a theta = arctan(a really messy quadratic). Plugged in the values and it spat out @={31,63}degrees, the correct answer.(adsbygoogle = window.adsbygoogle || []).push({});

Is there an easier way to solve this?

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: 2 Parabolas Intersecting at 2 Know Points.

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