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Could someone check my work on this vector assignment question?

  1. May 18, 2014 #1
    Would anyone willing to check my work on this vector question?

    I have an assignment due in a few days and was just wondering if someone could look over one of the questions from this assignment and see if I've done it correctly, as I still don't feel entirely confident with this yet.

    So the question is: A baseball, thrown from the ground, lands on top of a building that is 15.5 m tall. If the ball is thrown at 22.0 m/s at an angle of 58.0° above the horizontal, find each of the following:

    a) horizontal and vertical components of initial velocity

    Vo= 22.0 m/s, so Voy=22sin(58)=18.7 m/s, and Vox=22cos(58)=11.7 m/s

    b) final vertical velocity

    Vfy^2=Voy^2+2AyΔXy
    = 18.7^2 + 2(-9.8)(15)
    = +/- sqrt(55.69)
    Vfy = -7.46 m/s

    c) time of flight

    a=v/t therefore t=v/a
    t= -7.46-18.7/-9.8
    t= 2.67s

    d) horizontal displacement

    ΔXx=Vox*t+(1/2*Ax*t^2)
    =11.7*2.67+0
    ΔXx=31.2m

    e) final vector velocity (HINT: Use both vertical and horizontal components)

    Vf^2 = Vfy^2+Vfx^2
    Vf=-13.88 m/s

    f) maximum height reached above the ground
    Set Vfy=0
    -Voy^2/2Ay=ΔXy
    -(18.7^2)/(2*-9.8)=ΔXy
    17.8m=ΔXy
     
    Last edited: May 18, 2014
  2. jcsd
  3. May 18, 2014 #2
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