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Motion on a plane

  1. May 26, 2009 #1
    Question:
    A stone is throws with an initial horizontal velocity of 10m/s form the top of a tower 200m high.
    a)where is the stone 2 seconds after being thrown?
    b)when will it hit the ground?
    c)what is the speed upon hitting the ground?

    (this is not my homework it a question that wasn't discussed in class and i am not able to answer it)
     
  2. jcsd
  3. May 26, 2009 #2
    Re: motion on a plane 2

    Thank you
     
  4. May 26, 2009 #3
    The trick is that the x and y motions are independent and are superimposed on each other (an approximation good for the world being flat). If it is thrown horizontally, then the initial velocity has no y component. First, solve a problem as thought there is only y-motion, that it, a stone dropped vertically from rest. Find the time to hit the ground, the position at 2 seconds, and the final speed just before it hits the ground. Then do another problem as if there is only x-motion, as if it were sliding on a table. Neglecting air resistance, x-motion has a constant horizontal velocity, because gravity doesn't affect the x-motion. Find the position at 2 seconds. Find the x-velocity at the time when the first part of the problem, the y-solution, said it will hit the ground. Now you can combine the x-results and the y-results to get the things they ask for.
     
    Last edited: May 26, 2009
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