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Math Help - Velocity

  1. #1
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    Velocity

    I know this seems so easy, but I can't figure this out.

    The problem:

    What is the velocity of an object dropped from a height of 130 m when it hits the ground?

    I know that the formula for velocity is v(t)=v0-gt, but I can't figure out how to determine what some of those variables are. And I can't figure out how to incorporate the height, which I assume should be some form of s(t). Any help would be greatly appreciated!
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  2. #2
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    Quote Originally Posted by A5HLEY View Post
    I know this seems so easy, but I can't figure this out.

    The problem:

    What is the velocity of an object dropped from a height of 130 m when it hits the ground?

    I know that the formula for velocity is v(t)=v0-gt, but I can't figure out how to determine what some of those variables are. And I can't figure out how to incorporate the height, which I assume should be some form of s(t). Any help would be greatly appreciated!
    You need 2 equations here:

    a = acceleration. It's 9.81\ \frac m{s^2}
    d = distance: 130 m
    t = time

    You are dealing with an uniformly accelerated motion.

    d = \frac12 \cdot a \cdot t^2

    v = a \cdot t

    130 = \frac12 \cdot 9.81 \cdot t^2 ~\implies~t\approx 5.148\ s

    v = 9.81\ \frac m{s^2} \cdot 5.148\ s \approx 50.5 \ \frac ms
    Last edited by earboth; February 17th 2008 at 10:19 AM.
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