Solve the Problem $f ( t ) = 10 \sin \left( \frac { 3 \pi t } { 4 } - \frac { \pi } { 4 } \right)$

Multiple Choice

Solve the problem.
-A weight suspended from a spring is vibrating vertically with up being the positive direction. The function $f ( t ) = 10 \sin \left( \frac { 3 \pi t } { 4 } - \frac { \pi } { 4 } \right)$ represents the distance in centimeters of the weight from its rest position as a function of time t, where t is measured in seconds. Find the smallest positive value of t for which the displacement of the weight above its rest position is 5 cm.
Round answer to three decimal places, if necessary.

A) 1.586
B) 2.293
C) 0.556
D) 0.222