2. A vehicle starts from rest and its velocity is 8.0 measured every seconds for 8 seconds, with values as seen in the table. The distance travelled in 8.0 s ist given by v dt. Estimate this distance using Simpson's rule, giving the answer correct to 3 significant figures.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Please solve the following practice problems in step by step solution
2. A vehicle starts from rest and its velocity is
measured every seconds for 8 seconds, with values
as seen in the table. The distance travelled in 8.0 s is
given by v dt. Estimate this distance using
Simpson's rule, giving the answer correct to 3
significant figures.
time t (s) velocity v (ms-¹)
0
0
1.0
2.0
3.0
4.0
5.0
6.0
7.0
8.0
0.4
1.0
1.7
2.9
4.1
6.2
8.0
9.4
Transcribed Image Text:2. A vehicle starts from rest and its velocity is measured every seconds for 8 seconds, with values as seen in the table. The distance travelled in 8.0 s is given by v dt. Estimate this distance using Simpson's rule, giving the answer correct to 3 significant figures. time t (s) velocity v (ms-¹) 0 0 1.0 2.0 3.0 4.0 5.0 6.0 7.0 8.0 0.4 1.0 1.7 2.9 4.1 6.2 8.0 9.4
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