When and where do two objects meet?

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Two students are engaged in a water balloon fight, with one on a roof and the other on the ground. The student on the roof throws a balloon downward at 5.2 m/s, while the student below throws his balloon upward at 7.1 m/s, with the building height being 10 meters. To find where and when the balloons meet, two equations of motion are established based on their initial speeds and the effects of gravity. The equations must be set equal to each other to solve for time (t) and the final position (x_f). The discussion notes a potential oversight regarding the height of the students, which could affect the calculations.
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tow students are randomly attacking each other with water balloons. one student is on the roof and the other is on the ground below.

the student on the roof throws a water balloon straight down with an initial speed of 5.2m/s and the student below throws his up at a rate of 7.1m/s. if the height of the building is 10m,

determine where and when the two balloons meet??
 
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odie said:
tow students are randomly attacking each other with water balloons. one student is on the roof and the other is on the ground below.

the student on the roof throws a water balloon straight down with an initial speed of 5.2m/s and the student below throws his up at a rate of 7.1m/s. if the height of the building is 10m,

determine where and when the two balloons meet??
x_f=0-5.2t-.5(9.8)t^2 equation #1
x_f=-10+7.1t-.5(9.8)t^2 equation #2

These two equations equal one another.

solve for t, then solve for x_f

unfortunately this assumes the boys height is zero. Are you given the boy/girls height?
 

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