$\frac{10\mathrm{.}2}{12}$

A $0\mathrm{.}87$ kg block oscillates back and forth along a straight line on a frictionless horizontal surface. Its displacement from the origin is given by

$x=(15cm)cos[(14ra\frac{d}{s})t+\frac{}{2}$rad$]$

$($a$)$ What is the oscillation frequency? $($b$)$ What is the maximum speed acquired by the block? $($c$)$ At what value of $x$ does this occur? $($d$)$ What is the magnitude of the maximum acceleration of the block? $($e$)$ At what positive value of $x$ does this occur? $($f$)$ What force, applied to the block by the spring, results in the given oscillation?

$($a$)$ Number

$2\mathrm{.}23$ Units

$($b$)$ Number $$ Units

$($c$)$ Number $$ Units

$($d$)$ Number $$ Units

$($e$)$ Number $$ Units

$($f$)$ Number $$ Units