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Projectile Problem

  1. Oct 28, 2009 #1
    1. The problem statement, all variables and given/known data
    if20rc.jpg

    There is the question I am having trouble with. All the data is given in the image. I am to find "d". The slope being on an angle is what is throwing me off. It would be simple enough if the ground was perfectly horizontal, but I am not sure how to handle the 10 degree incline.
    My first thought was to make it as the golf ball was hit horizontally and at an angle of 55 degrees. I am not sure how to figure out the distance "d" though.

    Any help would be greatly appriciated


    2. Relevant equations

    s=vot + 1/2 at^2

    v=vo + at

    V^2=vo^2 + 2as

    3. The attempt at a solution
    I am not sure where to start.
     
  2. jcsd
  3. Oct 28, 2009 #2

    Andrew Mason

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    Find the horizontal speed. Determine the height at B. Plug that time into your equation for height: [itex]h = v_yt - .5gt^2[/itex] to find the time of flight. Put that value of t into your equation for horizontal speed.

    AM
     
  4. Oct 28, 2009 #3
    Thanks for the reply.

    I have the horizontal speed as 80cos55 = 45.89ft/s

    I am unsure of how to calculate the height at which the ball hits the ground. Could someone shed some light as to how I would go about this.

    Thanks in advance.
     
  5. Oct 29, 2009 #4

    Andrew Mason

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    The height divided by the horizontal distance travelled (vxt) is tan(10).

    This equation for h, combined with [itex]h = v_{0y}t -\frac{1}{2}gt^2[/itex] gives you two equations and two unknowns. So you can solve for t.

    AM
     
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