Solve the Problem $t$ , Find the Body's Position $\mathrm { t }$

Multiple Choice

Solve the problem.
-Given the velocity and initial position of a body moving along a coordinate line at time $t$ , find the body's position $\mathrm { t }$ .
$v = - 5 t + 3 , s ( 0 ) = 12$

A) $s = - \frac { 5 } { 2 } t ^ { 2 } + 3 t + 12$
B) $s = \frac { 5 } { 2 } t ^ { 2 } + 3 t - 12$
C) $s = - 5 t ^ { 2 } + 3 t + 12$
D) $s = - \frac { 5 } { 2 } t ^ { 2 } + 3 t - 12$