Graph the Function Over a One-Period Interval $y = A \sin ( ( \sqrt { g / L } ) t + \pi / 2 )$

question 203

Multiple Choice

Graph the function over a one-period interval.
-A pendulum of length L, when displaced horizontally and released, oscillates with harmonic motion according to the equation $y = A \sin ( ( \sqrt { g / L } ) t + \pi / 2 )$ , where $y$ is the distance in meters from the rest position $t$ seconds after release, and $g = 9.8 \mathrm {~m} / \mathrm { sec } ^ { 2 }$ . Identify the period, amplitude, and phase shift when $\mathrm { A } = 0.32 \mathrm {~m}$ and $\mathrm { L } = 0.39 \mathrm {~m}$ . Round all answers to the nearest hundredth.

• A) \(1.26 \mathrm { sec } , 0.32 \mathrm {~m} , 0.31\) units to the right
• B) \(0.63 \mathrm { sec } , 0.32 \mathrm {~m} , - 0.63\) units to the left
• C) \(0.25 \mathrm { sec } , 0.32 \mathrm {~m} , - 0.063\) units to the left
• D) \(1.26 \mathrm { sec } , 0.32 \mathrm {~m} , - 0.31\) units to the left

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Definitions:

Convenience Sampling

A sampling method where the sample is taken from a group of people easy to contact or to reach.

Sampling Units

The units selected for study.

Geographic Units

Specific, defined areas used for statistical, administrative, or other geographic purposes.

Sampling Error

The error that occurs due to differences between the sample selected for a study and the overall population, which can affect the generalizability of results.