Results 1 to 4 of 4

Math Help - Physics

  1. #1
    Junior Member
    Joined
    Sep 2008
    Posts
    63

    Physics

    An Olympic basketball player shoots towards a basket that is 5.28 m horizontally from her and 3.05 m above the floor. The ball leaves her hand 1.57 m above the floor at an angle of 61.0o above the horizontal.
    What initial speed should she give the ball so that it reaches the basket and hopefully scores?


    I have no clue how to even start this problem
    I know a = -9.81 m/s^2
    and Xo = 0
    But thats all i know
    Thanks
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    12,114
    Thanks
    992
    \Delta x = v_x \cdot t

    solve for t ...

    t = \frac{\Delta x}{v_x}


    \Delta y = v_{y0} t - \frac{1}{2}gt^2

    sub in the expression for t ...

    \Delta y = v_{y0} \cdot \frac{\Delta x}{v_x} - \frac{1}{2}g\left(\frac{\Delta x}{v_x}\right)^2

    clean up ...

    \Delta y = v\sin{\theta} \cdot \frac{\Delta x}{v\cos{\theta}} - \frac{g}{2}\left(\frac{\Delta x}{v\cos{\theta}}\right)^2

    \Delta y = \Delta x \cdot \tan{\theta} - \frac{(\Delta x)^2 g}{2v^2\cos^2{\theta}}

    v = \sqrt{\frac{(\Delta x)^2 g}{(\Delta x \tan{\theta} - \Delta y)2\cos^2{\theta}}}
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Sep 2008
    Posts
    63
    <br /> <br />
v_x<br />
    <br /> <br />
\Delta x<br />

    how do i get these value?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    12,114
    Thanks
    992
    v_x is the x-component of your velocity ... v_x = v\cos{\theta}

    you were given \Delta x in the problem statement.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Got a physics question or interested in physics?
    Posted in the Math Topics Forum
    Replies: 16
    Last Post: February 3rd 2014, 02:56 AM
  2. physics help...
    Posted in the Math Topics Forum
    Replies: 2
    Last Post: February 17th 2009, 07:20 AM
  3. how do solve quantum physics or physics equations
    Posted in the Advanced Applied Math Forum
    Replies: 2
    Last Post: March 26th 2008, 05:33 AM
  4. Physics...
    Posted in the Math Topics Forum
    Replies: 1
    Last Post: March 5th 2008, 08:31 PM
  5. physics, acceleration, physics problem
    Posted in the Math Topics Forum
    Replies: 3
    Last Post: September 29th 2007, 04:50 AM

Search Tags


/mathhelpforum @mathhelpforum