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24 January, 08:51

A car moves along a straight road in such a way that its velocity (in feet per second) at any time t (in seconds) is given by v (t) = 3t 9 - t2 (0 ≤ t ≤ 3).

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  1. 24 January, 09:28
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    velocity varies between 25,50 and 75 (feet per second)

    Step-by-step explanation:

    as t varies between 0 and 3

    putting t=0

    v (0) = 3 (0) 9 - 0 (2)

    v (0) = 0

    now putting t = 1 in the given equation

    v (1) = 3 (1) 9 - (1) 2

    v (1) = 27-2

    V (1) = 25

    now putting t = 2 in the given equation

    V (2) = 3 (2) 9 - (2) 2

    V (2) = 54-4

    V (2) = 50

    now putting t = 3 in the given equation

    V (3) = 3 (3) 9 - (3) 2

    V (3) = 81-6

    V (3) = 75
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