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

54 km / hours

step-by-step explanation:

we need to convert seconds to hours

60 seconds = 1 minutes

60 minutes = 1hour

15 m         60 second   60 minutes

  * *         = 54000 meters/ hour

second     1 minute             1 hour

now we need to convert meters to km

1000 m = 1 km

54000 m       1 km

*   = 54 km / hours

hour               1000m

it is x=-4

step-by-step explanation: