A weight is oscillating on the end of a spring (see figure).The position of the weight relative to the point of equilibrium is given by $y = \frac { 1 } { 12 } ( \cos 7 t - 3 \sin 7 t )$ , where y is the displacement (in meters) and t is the time (in seconds).Find the times when the weight is at the point of equilibrium (y = 0) for $$0 \leq t \leq 1$$ .

A)0.05sec, 0.49sec, 0.94sec
B)0.05sec, 0.05sec, 0.94sec
C)-0.40sec, 0.49sec, 0.94sec
D)-0.40sec, 0.49sec, -0.40sec
E)0.05sec, -0.40sec, 0.94sec

Question

A weight is oscillating on the end of a spring (see figure).The position of the weight relative to the point of equilibrium is given by $y = \frac { 1 } { 12 } ( \cos 7 t - 3 \sin 7 t )$ , where y is the displacement (in meters) and t is the time (in seconds).Find the times when the weight is at the point of equilibrium (y = 0) for $$0 \leq t \leq 1$$ .    
 
A)0.05sec, 0.49sec, 0.94sec 
B)0.05sec, 0.05sec, 0.94sec 
C)-0.40sec, 0.49sec, 0.94sec 
D)-0.40sec, 0.49sec, -0.40sec 
E)0.05sec, -0.40sec, 0.94sec

Quizplus · Accepted Answer

The Answer of A weight is oscillating on the end of a spring (see figure).The position of the weight relative to the point of equilibrium is given by $y = \frac { 1 } { 12 } ( \cos 7 t - 3 \sin 7 t )$ , where y is the displacement (in meters) and t is the time (in seconds).Find the times when the weight is at the point of equilibrium (y = 0) for $$0 \leq t \leq 1$$ .    
 
A)0.05sec, 0.49sec, 0.94sec 
B)0.05sec, 0.05sec, 0.94sec 
C)-0.40sec, 0.49sec, 0.94sec 
D)-0.40sec, 0.49sec, -0.40sec 
E)0.05sec, -0.40sec, 0.94sec

A Weight Is Oscillating on the End of a Spring y=112(cos⁡7t−3sin⁡7t)y = \frac { 1 } { 12 } ( \cos 7 t - 3 \sin 7 t )y=121​(cos7t−3sin7t)

A Weight Is Oscillating on the End of a Spring $y = \frac { 1 } { 12 } ( \cos 7 t - 3 \sin 7 t )$