Find a Model for Simple Harmonic Motion Satisfying the Specified $d = 5 \sin \left( \frac { \pi t } { 5 } \right)$

Multiple Choice

Find a model for simple harmonic motion satisfying the specified conditions.
Displacement (t = 0) : 0
Amplitude: 5 meters
Period: 10 seconds

A) $d = 5 \sin \left( \frac { \pi t } { 5 } \right)$
B) $d = 5 \sin ( 2 \pi t )$
C) $d = 5 \sin \left( \frac { \pi t } { 12 } \right)$
D) $d = 10 \sin ( \pi t )$
E) $d = 5 \cos ( 2 \pi t )$