Question

c. what is isabellas velocity from t = 6 to t = 8?

Explanation:

Step1: Recall velocity formula

Velocity $v=\frac{\Delta x}{\Delta t}$, where $\Delta x$ is the change in position and $\Delta t$ is the change in time.

Step2: Determine $\Delta t$

$\Delta t=t_2 - t_1$, here $t_1 = 6$, $t_2=8$, so $\Delta t=8 - 6=2$.

Step3: Need position - time data

However, since no information about Isabella's position - time function or position values at $t = 6$ and $t = 8$ is given, we cannot calculate $\Delta x$. So we assume we have position values $x_1$ at $t = 6$ and $x_2$ at $t = 8$. Then $\Delta x=x_2 - x_1$. And velocity $v=\frac{x_2 - x_1}{8 - 6}=\frac{x_2 - x_1}{2}$.

Answer:

Without knowing Isabella's position values at $t = 6$ and $t = 8$, we cannot give a numerical answer. If the position at $t = 6$ is $x_1$ and at $t = 8$ is $x_2$, the velocity is $\frac{x_2 - x_1}{2}$.