A swimmer bounces straight up from a diving board and falls feet first into a pool. She starts with a velocity of $4\mathrm{.}00$ m$/$s$,$ and her takeoff point is $1\mathrm{.}60$ m above the pool.

$($a$)$

How long $($in s$)$ are her feet in the air?

s

$($b$)$

What is her highest point $($in m$)$ above the board?

m

$($c$)$

What is her velocity $($in m$/$s$)$ when her feet hit the water?

m$/$s