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Math Help - Vertical motion problem?

  1. #1
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    Question Vertical motion problem?

    I'm pretty sure it needs to be solved through row echelon, but I've tried multiple times and can't seem to work this thing out..can anyone help me?

    Problem:
    Find the position equation for s=(1/2)at^2+vt+so

    At t=1 second, s=128 feet
    At t=2 seconds, s=80 ft.
    At t=3 seconds, s=0 ft.

    Please and thank you if anyone helps! :x
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  2. #2
    Behold, the power of SARDINES!
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    Quote Originally Posted by flyingsquid View Post
    I'm pretty sure it needs to be solved through row echelon, but I've tried multiple times and can't seem to work this thing out..can anyone help me?

    Problem:
    Find the position equation for s=(1/2)at^2+vt+so

    At t=1 second, s=128 feet
    At t=2 seconds, s=80 ft.
    At t=3 seconds, s=0 ft.

    Please and thank you if anyone helps! :x
    Solve this system for a v and s_0

    t=1  \iff128=\frac{1}{2}a+v+s_0

    t=2 \iff 80=2a+2v+s_0

    t=3 \iff 0= \frac{9}{2}a+3v+s_0
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