Answer:
t = 2.25 seconds
Step-by-step explanation:
Let
x ----> the time in seconds that the ball traveled
H(t) ---> the height of the ball in feet
we have
[tex]H(t)=-16t^2+36t[/tex]
we know that
When the ball hit the ground, the height of the ball is equal to zero
so
To find out the time the ball traveled, equate the function H(t) to zero
For H(t)=0
[tex]-16t^2+36t=0[/tex]
solve for t
Factor -16t
[tex]-16t(t-\frac{9}{4})=0[/tex]
The solutions are
[tex]t=0\ sec \\t=9/4=2.25\ sec[/tex]
