I tried the problem a few more times; but, ultimately I ended up with a 4th degree polynomial.
I reached out to a physics professor and he was kind enough to share that a general solution would be very complicated and that simplifying via approximation would give a reasonable result.
Recall...
Tnx for looking at this...
You are right, I can determine V_0 at the exit with a few experiments.
I also know the distance to target (cup) from base of my canon (determined with sensors).
I certainly understand what you mean by the symmetry of velocity and angle at (x2,y2).
I'm not sure how to...
If your question is related to basic trig:
Given a right triangle...
sin(angle) = opposite_length / hypotenuse_length
so, multiplying both side by hypotenuse_length gives us:
opposite_length = hypotenuse * sin(angle)
Thus, Ay = A sin(angle)
Similarly,
cos(angle) = adjacent /...
Greetings,
Most projectile problems are presented from the muzzle of a cannon; however, how do we solve the problem if the velocity is known at the muzzle; but the angle is controlled at the base of the canon.
The issue is that, when the canon angle changes, so does the muzzle location!
The...