Suppose a function is given by

y$($t$)=(4\mathrm{.}80$ m$)$sin$(7\mathrm{.}50$t$).$

Determine the following. $($Assume t is in seconds.$)$

$($a$)$ the maximum value of y$($t$)$

m

$($b$)$ the minimum value of y$($t$)$

m

$($c$)$ the period of the function

s