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M1st3rmarbl3s

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A Basketball Star covers 2.80m horizontally in a jump to dunk the ball. His motion through space can be modeled as that of a particle at a point called his center of mass. His center of mass is at elevation 1.02 m when he leaves the floor. It reaches a maximun height of 1.85 above the floor and is at elevation .900 when he touches again. Determine his time of flight.

Okay... well i usually get these kinds of problems. But I can't seem to get this one. You're (supposedly) not supposed to know anything about the center of mass. So i used the three center of mass heights as my Y component, but I still can't solve it because I don't have the initial velocity and i need that in order to use the different equations...

HELP ME PLEASE!!!