Kinematics simultaneous motion problem

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The discussion revolves around a kinematics problem involving two balls thrown simultaneously: one downward from a 186-meter building at 18 m/s and another upward from the ground at 32 m/s. Participants calculated the time for each ball to hit the ground and their respective velocities, with one user expressing confusion about finding the common point of motion. They derived equations for the heights of both balls over time and set them equal to find the collision point. The user seeks confirmation on their calculations, which indicate a collision time of 3.72 seconds and a height of 0.85 meters.
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the top question reads

"You are on top of a building 186 meters high you throw a ball downard at a speed of 18m/sec"

After calculating time for hitting the ground final velocity and average velocity the next question says:

"Suppose instead that at the same moment that this ball was thrown downward from the roof a second ball was thrown upward from the ground with a speed of 32m/s"

I know that when there's simultaneous motion you are supposed to find what the two objects have in common but I can't seem to find it.

I found the time to hit the ground for the first ball was 4.59, its final velocity was -62.98m/s and its average velocity was -40.52m/s.

I figured the time it takes the ball from the ground to reach a velocity of 0 is 3.27seconds and the height it reaches is 52.32 meters I'm not sure what to do now though, somebody please give me a hint or steer me in the right direction. Thank you.
 
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for the ball thrown downward ...
h = 186 - 18t - 4.9t^2

for the ball thrown upward ...
h = 32t - 4.9t^2

they meet when h = h ...

186 - 18t - 4.9t^2 = 32t - 4.9t^2

solve for t (very easy), then find h.
 
thanks..?

Okay, I understand that they both will hit when h = h, but where are you getting those two equations from, and I calculated a time of 3.72 seconds for them to collide, and a height of .85 meters please let me know if this is right.
Can anyone let me know if these answers are correct?
 
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