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

Question

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

unction s , where s(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?

Advanced Placement (AP)

1 answer:

pickupchik [329] · Answer 1 · 2026-02-22T09:36:47+03:00

Answer:

See Explanation

Explanation:

The query lacks complete information because the value of s(t) is not provided;

Nonetheless, here is a useful guideline;

Let's proceed with the following assumption:

$s(t) = 64 + 4(t-6)$

Required

Find the velocity at t = 8

To achieve this, first compute s(t) by inserting 8 for t in $s(t) = 64 + 4(t-6)$

$s(8) = 64 + 4(8- 6)$

$s(8) = 64 + 4(2)$

$s(8) = 64 + 8$

$s(8) = 72$

Next, calculate the velocity by taking s(t) and dividing it by t when t = 8

i.e.

$Velocity = \frac{s(t)}{t}$

Insert 8 for t

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

Insert 72 for s(8)

$Velocity = \frac{72}{8}$

$Velocity = 9\ ft/s$

In summary: calculate s(8) first, then divide that number by 8 to obtain your answer