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Math Help - instantaneous velocity problem!

  1. #1
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    instantaneous velocity problem!

    The displacement (in feet) of a certain particle moving in a straight line is given by s = t^3/6, where t is measured in seconds.
    (a) Fins the average velocity over the following time periods.
    (i) [1,3]
    (ii) [1,2]
    (iii) [1,1.5]
    (iv) [1,1.1]

    (b) Find the instantaneous velocity when t=1
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  2. #2
    No one in Particular VonNemo19's Avatar
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    Quote Originally Posted by yoman360 View Post
    The displacement (in feet) of a certain particle moving in a straight line is given by s = t^3/6, where t is measured in seconds.
    (a) Fins the average velocity over the following time periods.
    (i) [1,3]
    (ii) [1,2]
    (iii) [1,1.5]
    (iv) [1,1.1]

    (b) Find the instantaneous velocity when t=1
    For 1-4, find V_a=\frac{s(b)-s(a)}{b-a}

    For b) find V_i=s'(1)

    Average means secant, instantaneous means tangent.
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  3. #3
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    Quote Originally Posted by VonNemo19 View Post
    For 1-4, find V_a=\frac{s(b)-s(a)}{b-a}

    For b) find V_i=s'(1)

    Average means secant, instantaneous means tangent.
    Thanks VonNemo for helping me with both of my questions. I'll try it and if I get it incorrect I'll be back
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  4. #4
    No one in Particular VonNemo19's Avatar
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    Quote Originally Posted by yoman360 View Post
    Thanks...
    ...is only a click away.
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  5. #5
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    Quote Originally Posted by VonNemo19 View Post
    ...is only a click away.
    Thank you so much! I'm done
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  6. #6
    No one in Particular VonNemo19's Avatar
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    Quote Originally Posted by yoman360 View Post
    Thank you so much! I'm done
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