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Two dimensional motion with constant acceleration problem,

  1. Sep 23, 2006 #1
    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



    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 cant 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 thats it, im 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...
    Last edited: Sep 23, 2006
  2. jcsd
  3. Sep 23, 2006 #2
    so? nobody has a clue?
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