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Math Help - Transposition and subsitituion, or differentiation?

  1. #1
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    Transposition and subsitituion, or differentiation?

    Given that s=ut+1/2 at^2 and that the rate of change of distance with time =speed show that v=u+at

    I'm not sure where to begin with this question, I did two other which were similar and they were just transposition and substitution, But this looks like its aking for me to prove the derivative, Am i completely off base or just thick?

    Any help is apprecciated!

    Ally
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by ally79 View Post
    Given that s=ut+1/2 at^2 and that the rate of change of distance with time =speed show that v=u+at

    I'm not sure where to begin with this question, I did two other which were similar and they were just transposition and substitution, But this looks like its aking for me to prove the derivative, Am i completely off base or just thick?

    Any help is apprecciated!

    Ally
    start with s = ut + \frac 12at^2

    and differentiate both sides with respect to t. the result follows
    Last edited by Jhevon; September 22nd 2008 at 12:32 PM.
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  3. #3
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    where did the a go?
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  4. #4
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by ally79 View Post
    where did the a go?
    i forgot it.

    i changed it

    thanks
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  5. #5
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    i see when i differentiate ut+1/2at i get u+at i dont see how differentiating S gives me V?
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  6. #6
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    V is the rate of change of S w/r to time.
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