When and where do two objects meet?

[odie]

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??

 

[srmeier]

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?