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) $s ( t ) = 6 \cos ( 2 \pi ( 2.5 ) t )$

Question

Quizplus · Accepted Answer

The frequency $F$ is the reciprocal of the period $P$, so $F = \frac{1}{P} = \frac{1}{2.5} = 0.4$ Hz. The initial position $s(0) = 6$ inches is the amplitude of the cosine function, leading to $s(t) = 6 \cos(2 \pi (0.4) t)$.

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

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