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

question 160

Multiple Choice

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

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

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