1. 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)
|
t (s)
|
v (m/s)
|
|
0
|
0
|
3.0
|
10.51
|
|
0.5
|
4.65
|
3.5
|
10.65
|
|
1.0
|
7.38
|
4.0
|
10.72
|
|
1.5
|
8.84
|
4.5
|
10.89
|
|
2.0
|
9.73
|
5.0
|
10.89
|
|
2.5
|
10.26
|
|
|
2. The table shows values of a force function f(x), where x is measured in meters and f(x) in newtons. Use Simpson's Rule to estimate the work done by the force in moving an object a distance of 18 m.
|
x
|
0
|
3
|
6
|
9
|
12
|
15
|
18
|
|
f(x)
|
9.9
|
9.3
|
8.5
|
8.2
|
7.9
|
7.5
|
7.3
|