Question

module 1 quiz
score: 20/170 answered: 4/34
question 5
given that s(t)=12t - t² is a position function where s(t) is measured in millimeters and t is time in seconds, find the average velocity (average rate of change) for s(t) between t = 1 and t = 3 seconds.
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*algebraic work must be shown to retain points on quizzes, midterm or final
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Explanation:

Step1: Recall average - rate - of - change formula

The average rate of change of a function $y = s(t)$ over the interval $[a,b]$ is $\frac{s(b)-s(a)}{b - a}$. Here, $a = 1$, $b = 3$, and $s(t)=12t - t^{2}$.

Step2: Calculate $s(3)$

Substitute $t = 3$ into $s(t)$:

$$
LATEXBLOCK0
$$

Step3: Calculate $s(1)$

Substitute $t = 1$ into $s(t)$:

$$
LATEXBLOCK1
$$

Step4: Calculate the average rate of change

$$
LATEXBLOCK2
$$

Answer:

8