Please help my for loop goes on forever (Matlab) :/

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The discussion revolves around a MATLAB coding issue where a nested for loop is causing an infinite execution problem while attempting to calculate the trajectory of a ball launched from a height. The user is trying to determine the ball's initial velocities to ensure it lands in a pool, but the inner loop runs excessively, leading to performance issues. The user acknowledges that their approach may be flawed and seeks guidance on alternative methods or pseudocode to solve the problem efficiently. Suggestions from others in the thread focus on optimizing the loop structure and reducing unnecessary iterations. The need for a more effective algorithm to handle the calculations is emphasized.
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Homework Statement



Question: A ball is launched from a height of 12m. It should land in a pool that has a length of 22m and is 9m away from the wall. Find the minimum and maximum initial velocities for the ball to land in the pool. The ramp is angled at 1 radian such that vy = 0.54v and vx = 0.84v at time zero. The ball will not be airborned for more than 3 seconds.



Homework Equations



px= vx*t

py = 12m+vy*t

vy = vy0 – t *9.81 m/s^2

vi = [vx0 vy0] (matlab)

The Attempt at a Solution



So I tried to write a loop for it. My nested for loop goes on forever...can someone please help?


s= 'DEAD';

k = 'ALIVE';

v0=0:0.01:100;
t=0:0.01:3;

for r=1:length(v0);
v00=v0(r);
vxx=v0(r)*0.84;
vyy=v0(r)*0.54;

pxi=vxx.*t;

for j = 1:length(pxi);

if pxi(j)<9;
fprintf('%s', s);

elseif pxi(j)>31;
fprintf('%s', s);

else
fprintf('%s', k);

end;

j=j+1;

end;

end;

PLEASE help! I think my approach may be wrong. If anyone can provide some pseducode :/ I suck at matlab!
 
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So I realized that my inner loop will execute over over 3 million times...is there another way of approaching this? :/
 

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