The Displacement from Equilibrium of an Oscillating Weight Suspended by a Spring

question 34

Multiple Choice

The displacement from equilibrium of an oscillating weight suspended by a spring and subject to the damping effect of friction is given by $y ( t ) = \frac { 1 } { 4 } e ^ { - t } \cos 6 t$ ,where y is the displacement (in feet) and t is the time (in seconds) .Complete the following table.(Round your answer to four decimal places. ) ​
$$\begin{array} { | c | c | c | c | c | c | } \hline\\ t & 1 & \frac { 1 } { 8 } & \frac { 1 } { 5 } & \frac { 3 } { 7 } & 5 \\\\\hline y & & & & & \\\hline\end{array}$$

• A) \[\begin{array} { | c | c | c | c | c | c | }
• \hline \\t & 1 & \frac { 1 } { 8 } & \frac { 1 } { 5 } & \frac { 3 } { 7 } & 5 \\\\
• \hline y & 0.0883 & 0.1614 & 0.2742 & - 0.1371 & 0.0003 \\
• \hline
• \end{array}\]
• B) \[\begin{array} { | c | c | c | c | c | c | }
• \hline \\t & 1 & \frac { 1 } { 8 } & \frac { 1 } { 5 } & \frac { 3 } { 7 } & 5 \\\\
• \hline y & 0.0883 & 0.1614 & 0.2742 & - 0.1371 & 0.0003 \\
• \hline
• \end{array}\]
• C) \[\begin{array} { | c | c | c | c | c | c | }
• \hline \\t & 1 & \frac { 1 } { 8 } & \frac { 1 } { 5 } & \frac { 3 } { 7 } & 5 \\\\
• \hline y & 0.0883 & 0.1614 & 0.2742 & - 0.1371 & 0.0003 \\
• \hline
• \end{array}\]
• D) \[\begin{array} { | c | c | c | c | c | c | }
• \hline \\t & 1 & \frac { 1 } { 8 } & \frac { 1 } { 5 } & \frac { 3 } { 7 } & 5 \\\\
• \hline y & 0.1883 & 0.3614 & 0.0742 & - 0.1371 & 0.0883 \\
• \hline
• \end{array}\]
• E) \(\begin{array}{|l|l|l|l|l|l|}
• \hline \\t&1 & \frac{1}{8} & \frac{1}{5} & \frac{3}{7} & 5\\\\
• \hline y & 0.0883 & 0.1614 & 0.0742 & 0.0629 & 0.2003\\
• \hline
• \end{array}\)

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