Given y=32t2 +16t+64, what is D2/t [y]?

A.-64
B.-32
C.16
D.-64t+6**

assuming you meant:

y = 32t^2 + 16t + 64

and assuming that D2/t [y] stands for the second derivative

y' = 64t + 16
y'' = 64, which is a constant, so no matter what x you give me,
y'' = 64

none of your choices are correct, unless D2/t [y] represents something other than my interpretation.