Solve the Problem $\mathrm { t }$ $$v = \frac { 8 } { \pi } \sin \frac { 4 t } { \pi } , s \left( \pi ^ { 2 } \right) = 2$$

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 positios $\mathrm { t }$ .
$$v = \frac { 8 } { \pi } \sin \frac { 4 t } { \pi } , s \left( \pi ^ { 2 } \right) = 2$$

A) $\mathrm { s } = - 2 \cos \frac { 4 \mathrm { t } } { \pi } + 3.3073$
B) $s = 2 \cos \frac { 4 t } { \pi } + 4$
C) $s = - 2 \cos \frac { 4 t } { \pi } + 4$
D) $s = - 2 \cos \frac { 4 t } { \pi } + 8.2134$