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Math Help - The equation of motion of a particle, where s is in meters and t is in seconds, is gi

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    The equation of motion of a particle, where s is in meters and t is in seconds, is gi

    s=7t^3-3t

    (a)Find the velocity and acceleration as functions of t.

    v(t)=
    a(t)=

    (b) Find the acceleration after 7 seconds.

    _______m/s^2

    (c) Find the acceleration when the velocity is 0. (Round the answer to one decimal place) _______m/s^2
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by plstevens View Post
    s=7t^3-3t

    (a)Find the velocity and acceleration as functions of t.

    v(t)=
    a(t)=

    (b) Find the acceleration after 7 seconds.

    _______m/s^2

    (c) Find the acceleration when the velocity is 0. (Round the answer to one decimal place) _______m/s^2
    v(t)=\frac{ds}{dt}(t)

    and:

    a(t)=\frac{dv}{dt}(t)=\frac{d^2 s}{dt^2}(t)

    RonL
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    so what do i do for b and c
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    Quote Originally Posted by plstevens View Post
    so what do i do for b and c
    b) You have your function for a(t) so what is a(7)?

    c) When is v(t) = 0? Find that value of t and then find the acceleration at that time.

    -Dan
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    i don't mean to be a dumby but i still don't get it
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    Forum Admin topsquark's Avatar
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    Quote Originally Posted by plstevens View Post
    i don't mean to be a dumby but i still don't get it
    If I gave you a function, for example, a(t) = 8t + 3 what would you tell me the value of a(7) is? Part b is exactly this, but of course with the function you derived in part a).

    -Dan
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    I'm so sorry but thats not making sense
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    Forum Admin topsquark's Avatar
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    Quote Originally Posted by plstevens View Post
    I'm so sorry but thats not making sense
    In part a) your position function is given as s(t) = 7t^3 - 3t. From this you get that the acceleration function is
    a(t) = 42t

    What is the value of a(7), the value of the function a(t) when t = 7?

    If you can't answer that, then I suggest you have a long talk with your instructor.

    -Dan
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