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Math Help - Velocity and Acceleration

  1. #1
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    Lightbulb Velocity and Acceleration

    a. I need to find the v(t) and a(t) of s(t)=4t^5/2 - 15t^2 +t -3

    I need to know how to start...something with the displacement

    b.find t when the acceleration is 0
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  2. #2
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    Quote Originally Posted by lisa1984wilson View Post
    a. I need to find the v(t) and a(t) of s(t)=4t^5/2 - 15t^2 +t -3

    I need to know how to start...something with the displacement

    b.find t when the acceleration is 0

    You are given s(t) . Differentiate s(t) to find v(t) and differentiate v(t) to find a(t).
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  3. #3
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    Velocity I got 10t^4-30t+1

    Acceleration I got 40t^3-30

    now do I have to plug the 0 in these answers or the original equation for part b. Thanks I appreciate your help!
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  4. #4
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    Quote Originally Posted by lisa1984wilson View Post
    a. I need to find the v(t) and a(t) of s(t)=4t^5/2 - 15t^2 +t -3

    I need to know how to start...something with the displacement

    b.find t when the acceleration is 0
    is s(t) = 4t^{\frac{5}{2}} - 15t^2 + t - 3

    or is it ...

     <br />
s(t) = \frac{4t^5}{2} - 15t^2 + t - 3<br />

    ???
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  5. #5
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    its the first one
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  6. #6
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    Quote Originally Posted by lisa1984wilson View Post
    its the first one
    Velocity I got 10t^4-30t+1

    Acceleration I got 40t^3-30

    then your derivative, v(t) = s'(t), is incorrect ... and, as a result, a(t) is also wrong.

    velocity should be ...

     <br />
v(t) = 10t^{\frac{3}{2}} - 30t + 1<br />
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