A radar gun was used to record the speed of a runner during the first 5 seconds of a race (see the table). Use Simpson's Rule to estimate the distance the runner covered during those 5 seconds. (Round your answer to three decimal places.) t(s) v(m/s)
0 0
0.5 4.63
1.0 7.34
1.5 8.88
2.0 9.77
2.5 10.28
3.0 10.57
3.5 10.63
4.0 10.76
4.5 10.89
5.0 10.89

The required estimated distance the runner covered during this 5 seconds is 44.835 meters.

We have to determine, seconds of a race (see the table). Use Simpson's Rule to estimate the distance the runner covered during those 5 seconds.

According to the question,

A radar gun was used to record the speed of a runner during the first 5 seconds of a race,

t(s)         0   0.5     1.0    1.5    2.0    2.5     3.0      3.5     4.0      4.5      5.0

v(m/s)     0  4.63  7,34  8.88  9.77  10.28  10.57  10.63  10.76  10.89   10.89

Here,

n = 10

a = 0

b = 5

Then,

By using Simpson's Rule to estimate the distance the runner covered during those 5 seconds.

Estimated distance;

Substitute the given values in the equation,

Hence , The required estimated distance the runner covered during this 5 seconds is 44.835 meters.

To know more about Simpson's rule click the link given below.

link

44.835 meters

Step-by-step explanation:

From the table, we have that:

b = 5, a = 0, n = 10.

The Simpson's Rule is written in the equation below:

So substituting the values, we have that:

So the estimated distance the runner covered during this 5 seconds is 44.835 meters

the option best identifies the textual evidence that supports this conclusion is c.) when an argument is over, how many weighty reasons does a man recollect which his heat and violence made him utterly forget? in order to recognize textual evidence is to identify the topic sentence where the author states the main idea. textual evidence is what supports the topic sentence or main idea of a passage.

you would 18 *0.25 = 4.5