Answer:
One second
Explanation:
Her height above water as function of time after leaving the board is:
[tex]h(t)=-16t^2 +0t+ 16[/tex]
When she enters the water the height above the board is zero so h(t)=0, using that on (1):
[tex]0=-16t^2 +0t+ 16[/tex]
solving equation for t:
[tex]16t^2=16 [/tex]
[tex] t^2=1[/tex]
[tex] t=\sqrt{1}=1[/tex]s
Mathematically there're in fact two possible values for t, -1 and 1 but because we're talking of time negative sign has no physical sense then we only use 1.
