Find a Model for Simple Harmonic Motion Satisfying the Specified $d = 5 \cos ( 2 \pi t )$

Multiple Choice

Find a model for simple harmonic motion satisfying the specified conditions.
Displacement (t = 0) : 0
Amplitude: 5 centimeters
Period: 2 seconds

A) $d = 5 \cos ( 2 \pi t )$
B) $d = 5 \sin \left( \frac { \pi t } { 2 } \right)$
C) $d = 5 \sin ( \pi \mathrm { t } )$
D) $d = 2 \sin ( \pi t )$
E) $d = 5 \sin ( 2 \pi t )$