Solve the Problem $s ( 0 ) = 6$ Inches and a Period Of

Multiple Choice

Solve the problem.
-Suppose that a weight on a spring has an initial position of $s ( 0 ) = 6$ inches and a period of $P = 2.5$ seconds. Find a function $s ( t ) = a \cos ( 2 \pi F t )$ that models the displacement of the weight.

A) $s ( t ) = 6 \cos ( 2 \pi ( 0.4 ) t )$
B) $s ( t ) = 12 \cos ( 2 \pi ( 2.5 ) t )$
C) $s ( t ) = 12 \cos ( 2 \pi ( 0.4 ) t )$
D) $s ( t ) = 6 \cos ( 2 \pi ( 2.5 ) t )$