Well I've pretty much boiled the problem down to this:
Let a = 1.767+0.3213t
then I got
x(t)=(0.8835+0.05355 t) t^2
Solving for t I got t=2.45175
But i'm just curious. If I calculate average acceleration I get a_av=2.16.
If I now apply x=1/2at^2 using a average I don't get 6.1
Using calculus I turned a=1.767+0.3213t to
x=(0.8835+0.05355 t) t^2
Given x is 6.1 I solve t=2.45175
The Attempt at a Solution
But now when I use the average velocity trick and then use x= 1/2at^2 I don't get 6.1. Is my solution incorrect?