Solve the problem.
-The position of a weight attached to a spring is $s ( t ) = - 5 \cos ( 6 \pi t )$ inches after $t$ seconds. What is the maximum height that the weight rises above the equilibrium position?
A) $5 \mathrm { in }$.
B) 6 in.
C) $\frac { 6 } { \pi } \mathrm { in }$.
D) $\frac { 5 } { 6 } \mathrm { in }$.

Question

Quizplus · Accepted Answer

The maximum height above the equilibrium position corresponds to the amplitude of the cosine function, which is 5 inches in this case.

Solve the Problem s(t)=−5cos⁡(6πt)s ( t ) = - 5 \cos ( 6 \pi t )s(t)=−5cos(6πt)

Solve the Problem $s ( t ) = - 5 \cos ( 6 \pi t )$