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Equation for a Basketball Shot

  1. Dec 2, 2009 #1
    1. The problem statement, all variables and given/known data
    I don't know what equation to use. i am trying to find out the velocity need to make a shot. the conditions are ideal.
    initial height: 6 feet
    initial vertical velocity:unknown
    angle of trajectory: 45 degrees
    range: 14 feet
    time:2 seconds
    basketball hoop height: 10 feet

    2. Relevant equations



    3. The attempt at a solution
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Dec 2, 2009 #2

    berkeman

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    Staff: Mentor

    Welcome to the PF. The Relevant Equations are the kinematic equations of motion for a constant acceleration (the acceleration due to gravity). Can you list those for us?

    v_y(t) = _________

    y(t) = __________

    And you have a constant velocity in the x direction, so you can write:

    x(t) = __________
     
  4. Dec 2, 2009 #3
    xt=x0 + v0 cos(a) t
    y(t) = y0 + v0 sin(a) t - (1/2) g t^2

    i dont understand what is meant by v_y(t)
     
  5. Dec 2, 2009 #4

    berkeman

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    Staff: Mentor

    Good start. v_y is shorthand for the velocity in the y direction. Written more clearly in Latex:

    [tex]v_y[/tex]
     
  6. Dec 2, 2009 #5
    v_y=vsin0-(gx/vcos0)
     
  7. Dec 2, 2009 #6
    so 14+4cos45*2=18.2
    -> 4sin45-(g*18.2/4cos45)?
     
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