differentiate it,
y=3(t-2) +5(t-2) 2
y=3t - 6+5( t2 - 4t + 4)
y=3t - 6 + 5t2 - 20t + 20
dy/dt = 3 - 0 + 10t - 20 + 0(velocity)....on putting t=0 we don't get 3
further differentiating...
d2y/dt2=0-0+10-0+0
which is not equal to 5
on putting t=2 directly in the initial question we get....position
y=0 therefore 3 is the correct answer