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Solve the Problem tt , Find the Body's Position t\mathrm { t }

Question 222

Multiple Choice

Solve the problem.
-Given the velocity and initial position of a body moving along a coordinate line at time tt , find the body's position t\mathrm { t } .
v=cosπ2t,s(0) =1v = \cos \frac { \pi } { 2 } t , s ( 0 ) = 1


A) s=2πsinπ2ts = 2 \pi \sin \frac { \pi } { 2 } t
B) s=2πsinπ2t+πs = \frac { 2 } { \pi } \sin \frac { \pi } { 2 } t + \pi
C) s=sints = \sin t
D) s=2πsinπ2ts = \frac { 2 } { \pi } \sin \frac { \pi } { 2 } t time

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