Solve the Problem $\mathrm { t }$ $v = \cos \frac { \pi } { 2 } t , s ( 0 ) = 1$

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 positior $\mathrm { t }$ .
$v = \cos \frac { \pi } { 2 } t , s ( 0 ) = 1$

A) $s = \frac { 2 } { \pi } \sin \frac { \pi } { 2 } t + \pi$
B) $s = 2 \pi \sin \frac { \pi } { 2 } t$
C) $s = \frac { 2 } { \pi } \sin \frac { \pi } { 2 } t + 1$
D) $s = \sin t + 1$ time