An automobile is driven on a straight road, and the distance traveled by the automobile after time t=0 is given by a quadratic function a wh

Question

An automobile is driven on a straight road, and the distance traveled by the automobile after time t=0 is given by a quadratic function a where a(t) is measured in feet and t is measured in seconds for 0 <= t <= 12. Of the following, which gives the best estimate of the velocity of the automobile, in feet per second, at time t = 8 seconds?

a. s(8)
b. s(8)/8
c. s(12)- s(2)/ 12-2
d. s(9)- s(7)/9-7

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Xavia 4 years 2021-07-22T10:57:58+00:00 1 Answers 450 views 0

Answers ( )

  1. Jezebel
    0
    2021-07-22T10:59:34+00:00
    Reply

    Answer:

    Velocity = \frac{s(8)}{8}

    Explanation:

    Given

    0 \leq t \leq 12

    Required

    Determine the velocity when t = 8

    This type of velocity is referred to as an instantaneous velocity.

    In this case, it is calculated using

    Velocity = \frac{Distance\ at\ 8 second}{t = 8}

    Given that s(t) models the distance;

    s(8) = distance at 8 seconds

    So;

    Velocity = \frac{s(8)}{8}

    Option B answers the question

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