An object weighing W pounds is suspended from the ceiling by a steel spring (see figure).The weight is pulled downward (positive direction) from its equilibrium position and released.The resulting motion of the weight is described by the function
Where y is the distance (in feet) and t is the time (in seconds).
Use a graphing utility to select the graph of the function.

A)
B)
C)
D)

Question

An object weighing W pounds is suspended from the ceiling by a steel spring (see figure).The weight is pulled downward (positive direction) from its equilibrium position and released.The resulting motion of the weight is described by the function ​  ​
Where y is the distance (in feet) and t is the time (in seconds).
Use a graphing utility to select the graph of the function.
​
​  ​
A)​ 
B)​ 
C)​ 
D)​

Quizplus · Accepted Answer

Using a graphing utility and plugging in the given function, we get the following graph:
​ 11eacce6_1d4b_49e5_9f49_09706c3d3cc3_TB7896_00 ​
We can see that the graph of the function resembles a sinusoidal wave, which makes sense since it represents the motion of a spring. Option B is the only choice that resembles a sinusoidal wave with an amplitude of approximately 0.05 feet and a period of approximately 2 seconds, which matches the characteristics of the given function. Therefore, the best choice is B.

An Object Weighing W Pounds Is Suspended from the Ceiling