Use the equations below. $($Note that the direction is indicated by the sign in front of the equations.$)$

x$=(0\mathrm{.}0539$ m$)$ cos$(4\mathrm{.}98$t $+0\mathrm{.}122)$ v$=(0\mathrm{.}268$ m$/$s$)$ sin$(4\mathrm{.}98$t $+0\mathrm{.}122)$ a$=(1\mathrm{.}34$ m$/$s$2)$ cos$(4\mathrm{.}98$t $+0\mathrm{.}122)$

Hint

$($a$)$

Determine the first time $($in s$,$ when t $>0)$ that the position is at its maximum value.

s

$($b$)$

Determine the first time $($in s$,$ when t $>0)$ that the velocity is at its maximum value.

Set the argument of the sine or cosine function to the value that satisfies the stated condition, and solve for the time. s