Question

The following table gives values for the velocity of an object in meters per minute. t \begin{tabular}{|c|c|c|c|c|c|} \hline $t$ & 0 & 1 & 2 & 3 & 4 \\ \hline $v(t)$ & 9 & $-3$ & 9 & 45 & 105 \\ \hline \end{tabular} Include units in your answers to the following. (a) Use the Trapezoid Rule with 4 rectangles to approximate the total distance traveled by the object over the first four minutes. (b) Use a right-hand sum with 4 rectangles to approximate the average velocity of the object over the first four minutes. (c) Approximate the average acceleration over the first four minutes. (d) If the average acceleration between 4 and 6 minutes is -5 meters/min$^2$, what is the velocity of the object at 6 minutes? (e) Use a left-hand sum with 4 rectangles to approximate how far away the object is from its starting point after 4 minutes. (f) Suppose the object moves at constant velocity of $c$ meter/min after 4 minutes. If the object returns to its starting position at 7 minutes, use your answer to the previous part to estimate the value of $c$.

          The following table gives values for the velocity of an object in meters per minute.

t \begin{tabular}{|c|c|c|c|c|c|}
\hline
$t$ & 0 & 1 & 2 & 3 & 4 \\
\hline
$v(t)$ & 9 & $-3$ & 9 & 45 & 105 \\
\hline
\end{tabular}

Include units in your answers to the following.
(a) Use the Trapezoid Rule with 4 rectangles to approximate the total distance traveled by the object over the first four minutes.
(b) Use a right-hand sum with 4 rectangles to approximate the average velocity of the object over the first four minutes.
(c) Approximate the average acceleration over the first four minutes.
(d) If the average acceleration between 4 and 6 minutes is -5 meters/min$^2$, what is the velocity of the object at 6 minutes?
(e) Use a left-hand sum with 4 rectangles to approximate how far away the object is from its starting point after 4 minutes.
(f) Suppose the object moves at constant velocity of $c$ meter/min after 4 minutes. If the object returns to its starting position at 7 minutes, use your answer to the previous part to estimate the value of $c$.

The following table gives values for the velocity of an object in meters per minute.

t
t 0 1 2 3 4

v(t) 9 -3 9 45 105

Include units in your answers to the following.
(a) Use the Trapezoid Rule with 4 rectangles to approximate the total distance traveled by the object over the first four minutes.
(b) Use a right-hand sum with 4 rectangles to approximate the average velocity of the object over the first four minutes.
(c) Approximate the average acceleration over the first four minutes.
(d) If the average acceleration between 4 and 6 minutes is -5 meters/min^2, what is the velocity of the object at 6 minutes?
(e) Use a left-hand sum with 4 rectangles to approximate how far away the object is from its starting point after 4 minutes.
(f) Suppose the object moves at constant velocity of c meter/min after 4 minutes. If the object returns to its starting position at 7 minutes, use your answer to the previous part to estimate the value of c.

Added by Christine A.

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