A Corvette, initially traveling at a speed of 6 m/s, speeds up (accelerates) at a rate of 0.2 m/s2 for 3 s. How far does it travel during that time?

I tried d=vi*t-.2*t^2 but I did not get the correct answer

You should have used the equation

d = vi*t + 0.1*t^2

You don't have an minus sign in front of the accleration term, and you forgot to divide the acceleration by 2.