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31 May, 08:29

An object moves according to the law s = t2 + 5t - 8. what is the exact rate of change of s with respect to t when t = 1.5 seconds?

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  1. 31 May, 08:37
    0
    Replace t with 1.5 seconds and solve for s:

    s = 1.5^2 + 5 (1.5) - 8

    s = 2.25+7.5-8

    s = 9.75 - 8

    s = 1.75

    Rate of change is S/t

    Rate of change = 1.75 / 1.5

    Rate of change of s = 1.17
  2. 31 May, 08:50
    0
    ds/dt = 8 when t = 1.5

    Step-by-step explanation:

    s = t^2 + 5t - 8

    We want to find ds/dt

    ds/dt = 2t + 5

    evaluated when t=1.5

    ds/dt = 2 (1.5) + 5

    ds/dt = 3+5

    ds/dt = 8 when t = 1.5
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