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Simple projectile motion problem

  1. Sep 19, 2012 #1
    1. The problem statement, all variables and given/known data
    In the figure, a baseball is hit at a height h = 1.20 m and then caught at the same height. It travels alongside a wall, moving up past the top of the wall 1.2 s after it is hit and then down past the top of the wall 4.1 s later, at distance D = 55 m farther along the wall. (a) What horizontal distance is traveled by the ball from hit to catch? What are the (b) magnitude and (c) angle (relative to the horizontal) of the ball's velocity just after being hit? (d) How high is the wall?
    http://edugen.wileyplus.com/edugen/courses/crs4957/art/qb/qu/c04/fig04_48.gif

    2. Relevant equations
    For part A i'm using the following equations
    r=r0+v0+1/2at2
    also
    v0x=rf-r0/t
    3. The attempt at a solution
    I have been working this problem for over an two hours now and even though it seems simple i keep coming up with the wrong answers.
    So, first i know that i have to split up the problem into two parts:
    x-components
    there should be no acceleration in the x direction, so at constant velocity
    the vx component should be simply distance traveled/ time.
    I use the section that states the distance between 1.2 and 4.1 seconds as 55m so t=4.1-1.2=2.9s → 55m/2.9s=18.97m/s. This is the vx component of the initial velocity vector.
    Y-components:
    I use this equation: rf=r0+v0t+1/2at2
    rearranging for vnot=-1/2at2/t.
    I know a=-9.8m/s, t will be the sum of the sections of time so 1.2s + 2.9s + 1.2s = 5.3s
    the Δr should be zero, since it will end up falling to the same height that it left from.
    Plugging in i got 25.97m/s.
    (B) The initial velocity vector should simply be the sqr(v0x2+v0y2) which gives me 32.1606 m/s
    (C)To find the angle of the initial velocity vector i take the inverse tangent of the component vector to obtain, 53.85 °
    (D) To find the height of the wall i simply add 1.2m to the result from plugging in 1.2 seconds (the point at which it clears the wall) into the y component equation and using the ynot comp vector and solving for Δr which gives me (1.2m+31.164m-7.056m)=25.308m

    What am i doing wrong? it seems to me i'm doing every single step right but then again i'm suffering from insomnia so maybe i'm just missing one crucial step and i don't realize it?
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Sep 19, 2012 #2
    I can't see the image.
     
    Last edited: Sep 19, 2012
  4. Sep 19, 2012 #3
    Ok i figured it out, i was interpreting the wording wrong in the problem statement.
    After the projectile clears the height of the wall it comes back down to the wall height again after 4.1 seconds not at4.1s. WOW, i need to get some sleep. Thanks anyway
     
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