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Looking for Anti-derivative?

  1. Sep 15, 2010 #1
    1. The problem statement, all variables and given/known data

    a9t) = 1.2t. If v(1) = 5m/s, v(2) = ?
    If x(1) = 6m, x(2) = ?

    2. Relevant equations

    3. The attempt at a solution

    I know (anti-deriv) that is something like v(t) = .6t^2, but plug in 1 and that's not 5m/s?
  2. jcsd
  3. Sep 15, 2010 #2


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    Re: Anti-derivative?

    It took me the longest time to figure out what you meant by "a9t) = 1.2t"

    Do you mean, a(t) = (1.2 [m/s3])t

    When evaluating indefinite integrals (i.e. anti-derivatives), ensure you add an arbitrary constant to the results.

    In other words, for this problem,

    v(t) = (0.6 [m/s3])t2 + v0

    where v0 is an arbitrary constant. Use v(1 ) = 5 [m/s] to solve for v0.

    'Same idea applies when solving for x(t).
    Last edited: Sep 15, 2010
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