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Math Help - Velocity and acceleration

  1. #1
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    Lightbulb Velocity and acceleration

    The position s(t) of an object moving is in a straight line is given:

    s(t)=2t^4-5t^3+t-3

    a. Find object velocity v(t) and acceleration a(t).
    b. find all times t when the acceleration is 0.
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  2. #2
    Super Member craig's Avatar
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    Quote Originally Posted by lisa1984wilson View Post
    The position s(t) of an object moving is in a straight line is given:

    s(t)=2t^4-5t^3+t-3

    a. Find object velocity v(t) and acceleration a(t).
    b. find all times t when the acceleration is 0.
    s(t)=2t^4-5t^3+t-3

    Velocity is \frac{ds}{dt}, and Acceleration is \frac{d^2s}{dt^2} or \frac{dv}{dt}.

    Are you having trouble finding the differential of the equation for displacement?
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  3. #3
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    I have an exam coming up and I just want to practice some before tomorrow because I'm not sure how to do them at all!
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  4. #4
    Super Member craig's Avatar
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    Were you aware that the equation for velocity is found by differentiating the equation for displacement?

    Put up your work so far and see what you get
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  5. #5
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    v(t)=2*4*t^3-5*3*t^2+1
    a(t)=2*4*3^2-5*3*2*t
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  6. #6
    Super Member craig's Avatar
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    Quote Originally Posted by lisa1984wilson View Post
    v(t)=2*4*t^3-5*3*t^2+1
    a(t)=2*4*3^2-5*3*2*t
    Your equation for velocity seems correct, I cannot read your one for acceleration though, could you take a minute and put it in the correct latex code.

    Latex Tutorial
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