The displacement from equilibrium of an oscillating weight suspended by a spring is given by $y ( t ) = \frac { 1 } { 4 } \cos 6 t$ , where y is the displacement (in feet) and t is the time (in seconds).Find the displacements when $t = \frac { 1 } { 2 }$ .

A) $y \left( \frac { 1 } { 2 } \right) \approx - 0.15$ foot
B) $y \left( \frac { 1 } { 2 } \right) \approx 0.15$ foot
C) $y \left( \frac { 1 } { 2 } \right) \approx - 0.05$ foot
D) $y \left( \frac { 1 } { 2 } \right) \approx 0.05$ foot
E) $y \left( \frac { 1 } { 2 } \right) \approx - 0.25$ foot

Question

The displacement from equilibrium of an oscillating weight suspended by a spring is given by $y ( t ) = \frac { 1 } { 4 } \cos 6 t$ , where y is the displacement (in feet) and t is the time (in seconds).Find the displacements when $t = \frac { 1 } { 2 }$ .
 
A) $y \left( \frac { 1 } { 2 } \right) \approx - 0.15$ foot
B) $y \left( \frac { 1 } { 2 } \right) \approx 0.15$ foot
C) $y \left( \frac { 1 } { 2 } \right) \approx - 0.05$ foot
D) $y \left( \frac { 1 } { 2 } \right) \approx 0.05$ foot
E) $y \left( \frac { 1 } { 2 } \right) \approx - 0.25$ foot

Quizplus · Accepted Answer

The Answer of The displacement from equilibrium of an oscillating weight suspended by a spring is given by $y ( t ) = \frac { 1 } { 4 } \cos 6 t$ , where y is the displacement (in feet) and t is the time (in seconds).Find the displacements when $t = \frac { 1 } { 2 }$ .
 
A) $y \left( \frac { 1 } { 2 } \right) \approx - 0.15$ foot
B) $y \left( \frac { 1 } { 2 } \right) \approx 0.15$ foot
C) $y \left( \frac { 1 } { 2 } \right) \approx - 0.05$ foot
D) $y \left( \frac { 1 } { 2 } \right) \approx 0.05$ foot
E) $y \left( \frac { 1 } { 2 } \right) \approx - 0.25$ foot

The Displacement from Equilibrium of an Oscillating Weight Suspended by a Spring