I want to find the total distance covered at t = 2. I have tried integration techniques, and I have gotten two answers: 0.7837 meters or 0.9021 meters, neither of which I am sure is correct (?).

Any help would be greatly appreciated.

t v(t)
0 0.0820
0.2 0.2460
0.4 0.2597
0.6 0.2521
0.8 0.2477
1.0 0.2597
1.2 0.2964
1.4 0.3636
1.6 0.4647
1.8 0.6013
2.0 0.8000

 

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1 Answer

Best answer

v=ds/dt=∆s/∆t approximately where s is distance, and ∆s and ∆t are small increments of distance and time. So ∆s=v∆t. ∆t is the difference between consecutive values of t in the table. ∆t=0.2 (fixed). We could use v as the average v(t) between two consecutive values of v(t) corresponding to the consecutive values of t.

With that information, we can piece together s from a sequence of ∆s values.

A system abnormality (which I understand is receiving attention) is preventing me from inserting the table, so I will just type out the last column which is ∆s:

0.03280

0.05057

0.05118

0.04998

0.05074

0.05561

0.06600

0.08283

0.10660

0.14013

TOTAL s=0.68644

by Top Rated User (1.2m points)

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