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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