The displacement from equilibrium of an oscillating weight suspended by a spring is given by $y ( t ) = 4 \cos ( 8 t )$ , where y is the displacement in centimeters and t is the time in seconds.Find the displacement when $t = 1.25$ , rounding your answer to four decimal places.
A)2.2693 cm
B)-3.3563 cm
C)-0.7275 cm
D)-6.5364 cm
E)10.0903 cm

Question

The displacement from equilibrium of an oscillating weight suspended by a spring is given by $y ( t ) = 4 \cos ( 8 t )$ , where y is the displacement in centimeters and t is the time in seconds.Find the displacement when $t = 1.25$ , rounding your answer to four decimal places.  
A)2.2693 cm
B)-3.3563 cm
C)-0.7275 cm
D)-6.5364 cm
E)10.0903 cm

Quizplus · Accepted Answer

The displacement is calculated by substituting $t = 1.25$ into the equation: $y(1.25) = 4 \cos(8 \times 1.25) = 4 \cos(10)$. Evaluating this gives approximately -3.3563 cm.

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