A Weight Is Attached to a Spring Suspended Vertically from a Ceiling.When

A weight is attached to a spring suspended vertically from a ceiling.When a driving force is applied to the system,the weight moves vertically from its equilibrium position,and this motion is modeled by​ $$y = \frac { 1 } { 8 } \sin 2 t + \frac { 1 } { 6 } \cos 2 t$$ where y is the distance from equilibrium (in feet) and t is the time (in seconds) . Find the amplitude of the oscillations of the weight.
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A) $\frac { 1 } { 24 } \mathrm { ft }$
B) $\frac { 1 } { 10 } \mathrm { ft }$
C) $\frac { 5 } { 24 } \mathrm { ft }$
D) $\frac { 1 } { 5 } \mathrm { ft }$
E) $\frac { 24 } { 5 } \mathrm { ft }$

Correct Answer:

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