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find double derivative and set equal to zero
solve

and make sure the first derivative is positive

48-12(t-3)^2 is the first dirivative?

looks right to me

when i got it equal to 0 i got t=
3

from there i dont know

you set the second derivative to zero
-24(t - 3) = 0
t = 3

yes, then what?

it reaches the most rapid in 3 hours
you start at 8 am
plus 3 equal 11 am

i have to go now
but if this doesn't make sense, i'll try coming on again later
good luck!