1.

The velocity of a particle at time t is given by the relation \[v=6t-\frac{{{t}^{2}}}{6}\]. The distance traveled in 3 seconds is, if \[s=0\]at \[t=0\]

A.   \[\frac{39}{2}\]
B.   \[\frac{57}{2}\]
C.   \[\frac{51}{2}\]
D.   \[\frac{33}{2}\]
Answer» D.   \[\frac{33}{2}\]


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