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

question 275

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)\(\begin{array}{|c|c|c|c|c|c|}
• \hline t & 1 & \frac{1}{8} & \frac{1}{5} & \frac{3}{7} & 5 \\
• \hline y & 0.0883 & 0.1614 & 0.0742 & -0.1371 & 0.0003 \\
• \hline
• \end{array}\)
• C)\(\begin{array} { | c | c | c | c | c | c | }
• \hline t & 1 & \frac { 1 } { 8 } & \frac { 1 } { 5 } & \frac { 3 } { 7 } & 5 \\
• \hline y & 0.1883 & 0.1614 & 0.0742 & - 0.1371 & 0.0883 \\
• \hline
• \end{array}\)
• 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)\(\begin{array} { | c | c | c | c | c | c | }
• \hline t & 1 & \frac { 1 } { 8 } & \frac { 1 } { 5 } & \frac { 3 } { 7 } & 5 \\
• \hline y & 0.0883 & 0.1614 & 0.0742 & 0.0629 & 0.2003 \\
• \hline
• \end{array}\)

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