A $5\mathrm{.}000-$lb block is supported as shown by a spring of constant k$=2$l$($b$)/($i$)$n$.$ that can act in tension or compression. The

block is in its equilibrium position when it is struck from below by a hammer that imparts to the block an upward velocity of

$90$in$(.)/($s$).$

Determine the corresponding velocity and acceleration of the block.

The corresponding velocity of the block is

f$($t$)/($s$).($Round the final answer to three decimal places.$)$

The corresponding acceleration of the block

f$($t$)/($s$^(2)).($Include a minus sign if necessary.$)$