Solve the Problem $a(t)=5 t^{2 / 3}+2 e^{-t}$ the Velocity of the Object at Time 0 Is

Multiple Choice

Solve the problem.
-Suppose that the acceleration of an object is given by $a(t) =5 t^{2 / 3}+2 e^{-t}$ . The velocity of the object at time 0 is $v(0) =5$ and its position at time 0 is $s(0) =-9$ . Find $s(t)$ .

A) $\frac{9 t^{8 / 3}}{8}+2 e^{-t}+5 t-9$
B) $\frac{9 t^{8 / 3}}{8}+2 e^{-t}+7 t-11$
C) $\frac{200 t^{8 / 3}}{9}+2 e^{-t}+3 t-11$
D) $3 t^{5 / 3}-2 e^{-t}+7$