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2d projectile motion question

  1. Jul 15, 2009 #1
    1. The problem statement, all variables and given/known data
    OK, I'm posting to clarify if my answer is correct.

    1. An airplane is flying with a velocity of 90.0 m/s at an angle of 23.0m\s above the horizontal. When the plane is a distance 115 m directly above an observer that is standing on level ground, a suitcase drops out of the luggage compartment. How far from the observer will the suitcase land? You can ignore air resistance.

    2. Relevant equations
    y = ut + 1/2at^2
    x = ut

    3. The attempt at a solution
    OK, I divided the x and y components into a table, then solved for time and got 4.845 seconds. I then plugged it into x = ut and got 436.05m, then constructed a triangle and did the Pythagorean Theorem and got 450.9m

    Could someone please check this for me, since I don't have the answers to the question?

    Thanks.
     
  2. jcsd
  3. Jul 15, 2009 #2

    rl.bhat

    User Avatar
    Homework Helper

    To find time of flight t, use
    y = - u*sinθ*t + 1/2*g*t^2.
    - u*sinθ is the vertical component of the velocity of projection.
    Then the range = u*cosθ*t
     
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