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Solve the Problem by Integration v\mathrm { v } (In m/s\mathrm { m } / \mathrm { s }

Question 160

Multiple Choice

Solve the problem by integration.
-Under certain conditions, the velocity v\mathrm { v } (in m/s\mathrm { m } / \mathrm { s } ) of an object moving along a straight line as a function of the time tt (in s) is given by v=2t2+20t+33(4t+1) (t+4) 2v = \frac { 2 t ^ { 2 } + 20 t + 33 } { ( 4 t + 1 ) ( t + 4 ) ^ { 2 } } . Find the distance traveled by the object during the first 2 s2 \mathrm {~s} .


A) 4.478 m
B) 1.182 m
C) 0.377 m
D) 1.015 m

Correct Answer:

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