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

question 25

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