Solve the Problem $a(t)=10 t+6$ the Object's Initial Velocity $v(0)$ , Is 3 , and the Object's Initial Position

Multiple Choice

Solve the problem.
-Suppose that an object's acceleration function is given by $a(t) =10 t+6$ . The object's initial velocity, $v(0)$ , is 3 , and the object's initial position, $s(0)$ , is 12 . Find $s(t)$ .

A) $\frac{10}{3} t^{3}+3 t^{2}+12 t+3$
B) $\frac{5}{3} t^{3}+3 t^{2}+3 t+12$
C) $5 t^{2}+6 t+3$
D) $\frac{5}{3} t^{3}+3 t^{2}+3 t$