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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)
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
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
3
6
9
12
15
18
f(x)
9.9
9.3
8.5
8.2
7.9
7.5
7.3
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