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Math Help - Finding position at a time

  1. #1
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    Finding position at a time

    Find the particles position s at time t.

    1.) v=9.8t+5, s=10 when t=0
    2.) a=32, v=20 and s=5 when t=0

    I think I got the first question, I ended up with s(t)=4.9t^2+5t+10, but I don't know what to do with the second problem. Any help is appreciated, thanks.
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  2. #2
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    For the second question

    s''(0) = a
    so s'(t) = at + ?
    s'(0) = v

    Can you take it from here?
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  3. #3
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    Yeah, I get it now, thanks.
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  4. #4
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    Be careful about problem two. I would have interpreted "a= 32, v= 20, and s= 5 when t= 0" as meaning all three values are given at t= 0. In that case, you do NOT know the acceleration at any other time and cannnot answer the question. You have to assume that "a= 32" means that the acceleration is the constant 32 while v and s are given at t= 0.
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