Two dimensional motion with constant acceleration problem,

[alexkolb]

Basketball player covers 2.80m horizontally in a jump.
His center of mass moves through the space as following:
his center of mass is at elevation 1.02m when he leaves the floor,
it reaches a maximum height of 1.85 above the floor, and its at 0.900m

when he touches down again.

determine his flight "hang" time, angle of takeoff, horizontal and

vertical velocity components at takeoff.

Please help, i don't know where too start, seems like too much is

unknown...

--

I started by making a drawing, and i thought that since max height and

range are given ill go from there, but the motion is not symmetrical

So i wrote out the X and Y motion equations:

Xf = Vix * t = Vi cosA * t , where A is the unknown angle V unknown

speed, t unknows time
Xy = Vyx *t = Vi sinA * t + 1/2gt^2

But i can't solve systems because there are 3 unknowns and 2 equations

So i went back to max height and range again, i tried to figure out

what the range was for symmetrical movement, but i couldn't since i

dont know the angle, and even if i did i wouldn't know what to do with

the rest of the motion trajectory, so that's it, I am stuck here, i don't

even know what to do because it seems that to solve it i need either

angle or initial speed..

Help please...

 

[alexkolb]

so? nobody has a clue?