The height of an object in feet above the ground is given in the following table, $y=f(t)$
.Make a graph of f(t) .On your graph , what does the average velocity over a the interval $0 \leq t \leq 3$
represent? $\begin{array}{cccccccc}
t \text { (sec) } & 0 & 1 & 2 & 3 & 4 & 5 & 6 \
y\text { (feet) } & 10 & 45 & 70 & 85 & 90 & 85 & 70
\end{array}$
A)The average height between f(0)and f(3).
B)The slope of the line between the points (0, f(0)), and (3, f(3)).
C)The average of the slopes of the tangent lines to the points (0, f(0)), and (3, f(3)).
D)The distance between the points (0, f(0)), and (3, f(3)).

Question

The height of an object in feet above the ground is given in the following table, $y=f(t)$
 .Make a graph of f(t) .On your graph , what does the average velocity over a the interval $0 \leq t \leq 3$
 represent? $\begin{array}{cccccccc}
t \text { (sec) } & 0 & 1 & 2 & 3 & 4 & 5 & 6 \
y\text { (feet) } & 10 & 45 & 70 & 85 & 90 & 85 & 70
\end{array}$
A)The average height between f(0)and f(3).
B)The slope of the line between the points (0, f(0)), and (3, f(3)).
C)The average of the slopes of the tangent lines to the points (0, f(0)), and (3, f(3)).
D)The distance between the points (0, f(0)), and (3, f(3)).

Quizplus · Accepted Answer

The average velocity over the interval $0 \leq t \leq 3$ represents the slope of the line connecting the points (0, f(0)) and (3, f(3)) on the graph. This is because average velocity is calculated as the change in position (or height, in this case) divided by the change in time, which is the definition of slope.

The Height of an Object in Feet Above the Ground y=f(t)y=f(t)y=f(t)

The Height of an Object in Feet Above the Ground $y=f(t)$