Question

The displacement from equilibrium of an oscillating mass attached to a spring is given by $y=4\cos 3\pi t$where $y$is measured in inches and localid="1648456648539" $t$in seconds. Find the displacement at the times indicated in the table.

Short answer

The complete table is defined as below,

$t$	$y\left(t\right)$
$\begin{array}{c}\begin{array}{c}0\\ 0.25\\ 0.50\\ 0.75\\ 1.00\\ 1.25\end{array}\end{array}$	$\begin{array}{c}4\\ -2\sqrt{2}\\ 0\\ 2\sqrt{2}\\ -4\\ 2\sqrt{2}\end{array}$

Step-by-step solution

Given information.

The given function is $y=4\cos 3\pi t$.

Calculation.

Consider the given function,

Now, complete the table.

$t$	$y\left(t\right)$
$\begin{array}{c}0\\ 0.25\\ 0.50\\ 0.75\\ 1.00\\ 1.25\end{array}$	$\begin{array}{c}4\\ -2\sqrt{2}\\ 0\\ 2\sqrt{2}\\ -4\\ 2\sqrt{2}\end{array}$