The Velocity of a Particle Moving in a Straight Line $v = e ^ { 3 t } + 3 t$

Multiple Choice

The velocity of a particle moving in a straight line is given by $v = e ^ { 3 t } + 3 t$ .
Find an expression for the position s after a time t.

A) $s ( t ) = 3 e ^ { 3 t } + 3 + C$
B) $s ( t ) = \frac { 1 } { 3 } e ^ { 3 t } + \frac { 3 } { 2 } t ^ { 2 } + C$
C) $s ( t ) = \frac { 1 } { 3 } e ^ { 3 t } + 6 t ^ { 3 } + C$
D) $s ( t ) = \frac { 1 } { 3 } e ^ { 4 t } + \frac { 3 } { 2 } t ^ { 2 } + C$
E) $s ( t ) = e ^ { 3 t } + 3 t ^ { 2 } + C$