Calculating Building Height Using Balloon Drop Experiment

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To calculate the height of the building, two equations of motion are utilized: one for the balloon dropped from rest and another for the balloon thrown with an initial speed of 72.52 m/s. The first balloon's velocity after 3.7 seconds is calculated to be 108.78 m/s. Using the kinematic equation, the height is derived as approximately 334.73 meters. The discussion emphasizes the need to set up separate equations for each balloon's motion to accurately determine the building's height.
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Homework Statement


you and your friend throw balloons filled with water of a roof of a building. You drop yours from rest, he throws his with an initial speed of 72.52 m/s^2 3.7 seconds later. They hit at the same time. How high his the building.


Homework Equations


V=Vi+at
(V^2) - (Vi^2)/(2a)= deltax


The Attempt at a Solution


V=72.52 = 9.81(3.7), V = 108.78
(108.78)^2 - (72.52)^2/(2)(9.81) = deltax
deltax = 334.73 m
 
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seems to me that you have to set up two equations, one for the v0 = 0 at time T and one for v0 = 72.52 m/s at time = (T - 3.7). that's my take...I haven't tried plugging these in, though.
 
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