I'm wonder if im correct?

Two physics students built a model rocket for a class project. Once the rocket is launched, its height in feet, h(t), can be found using the height function

h(t) = -16t² + 96t where t represents time in seconds

my work: 0=-16t^2+96t = -16t(t-6)=0 = -16t=0 , t=0 and t-6= t=6.

Is this correct?

4 answers

I wonder what the problem is.
Question:
Two physics students built a model rocket for a class project. Once the rocket is launched, its height in feet, h(t), can be found using the height function

h(t) = -16t² + 96t where t represents time in seconds.Find the time when the rocket finally hits the ground.
LOL, well if 6 is the answer then

-16(36) + 96 (6) better be zero

is it ? :)
where is the 36 from?