Answer to Question #11670 in Mechanics | Relativity for zahraa

Question

Graph the following table to determine if the relationship s = 0.5 at2 holds where t is
time s is distance and a is the acceleration. Determine the acceleration.

Time(±0.01)(s) Distance (±0.5)(m)
0 0.36
0.20 0.23
0.40 0.27
0.60 0.82
0.80 1.72
1.00 2.20
1.20 3.29
1.40 5.16
1.60 6.31
1.80 7.64
2.00 9.90

Answer 1

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" 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