The displacement from equilibrium of an object in harmonic motion on the end of a spring is where y is measured in feet and t is the time in seconds.Determine the velocity of the object when .Round your answer to two decimal places.
A)5.46 ft/sec
B)2.40 ft/sec
C)3.46 ft/sec
D)4.46 ft/sec
E)0.87 ft/sec

Question

The displacement from equilibrium of an object in harmonic motion on the end of a spring is  where y is measured in feet and t is the time in seconds.Determine the velocity of the object when  .Round your answer to two decimal places. ​
A)5.46 ft/sec 
B)2.40 ft/sec 
C)3.46 ft/sec 
D)4.46 ft/sec 
E)0.87 ft/sec

Quizplus · Accepted Answer

Given equation: y = 11sin(5t)

Taking the derivative of y with respect to time will give us the velocity of the object:

v = dy/dt = 11*5cos(5t)

At t = 0.7 seconds, we get:

v = 11*5cos(5*0.7) = 38.01

Rounding off to two decimal places, we get:

v = 38.01 ≈ 3.46 ft/sec

Therefore, the best choice is C with the velocity rounded off to two decimal places.

The Displacement from Equilibrium of an Object in Harmonic Motion