Perhaps next Saturday night's game with the University of Louisiana-Monroe – who lost just 28-27 to the Razorbacks two seasons ago – will tell that tale.
It certainly should be more of a gauge than Tennessee Tech, who the Razorbacks routed 44-3 last Saturday night.
"We will have a much tougher opponent this week with more speed, better athleticism, similar in scheme, but more athleticism," Petrino said. "We will find out just how much more we have improved."
After trailing 3-0 to the Golden Eagles at the end of the season opener's first quarter, the Razorbacks put up 44 unanswered points in the middle two quarters.
Arkansas turned it over on downs on its opening possession, Razorback quarterback Ryan Mallett was picked off, there were four penalties and a couple of fumbles.
"We have high expectations for our offense, we have high standards for our offense," Petrino said. "We did a lot of good things in the game, but we fluttered a couple of times – which I don't like to see – particularly early in that first quarter. We can't do that to ourselves – lose one on 4th-and-1 and then throw an interception.
"So we have got a lot of things we've got to work on and correct," Petrino added. "We did find a rhythm in the second and third quarter and did a nice job of mixing the run and the pass in the second and third quarter, which helped a lot."
Petrino was not pleased with his running game.
"Not good enough," Petrino said. "Wasn't good enough particularly in the first half. I came in at halftime and I wasn't real excited about that fact – at that time 11 carries and 51 yards. But they did come out in the second half and pushed the defense off the line and made more runs, more yards after contact and it was a lot better in the second half than the first half.
"But we still have to do better creating chunk plays (of big yardage) with our running game," Petrino said. "Our efficiency was pretty good as far as four yards a crack, the standards that we have for our efficiency. It was pretty good, but we need to get bigger plays in the run games."
The Razorbacks used four different running backs with the carries divided up among Broderick Green (9), Knile Davis (6), Ronnie Wingo (5) and Dennis Johnson (3).
"What I wanted to do was leave them in their for awhile instead of running them in and out off of the field and calling different personnel group," Petrino said. "We wanted to stay away from that and just say ‘this series belongs to Ronnie Wingo, this series belongs to Dennis, this series belongs to Broderick and then Knile.'
"We wanted them to run down the field, get hit, tackled and then run back to the huddle and run the ball again," Petrino continued. "We wanted to see what they did for their performance and running the ball."
Johnson had his carries limited by Petrino.
"Dennis kind of made me mad when he carried the ball in one hand," Petrino said. "His carries ended right then. We have got to carry the ball properly."
The Arkansas defense gave up a field goal early, but that was a win for that unit because it was first and goal at the one for Tennessee Tech and it could not get in.
The Razorbacks would only allow 187 yards total offense.
"I was impressed with our defense," Petrino said. "We have a better understanding of what we're doing which really allows us to play faster and not hesitate. We did a nice job of tackling and getting guys to the football, and playing aggressive. It was a good opening game for us on defense."
A new star on that defense was senior linebacker Anthony Leon, who made the move from safety about midway through pre-season camp.
"He played pretty good," Petrino said. "He was fast and aggressive, and did a very nice job of tackling. He's big and long in there and can make good tackles."
Tackling was a plus in game one according to Petrino.
"We did not miss a lot of tackles," Petrino said. "We were hard on (the players), too, if they got close or got an arm, we counted it as a missed tackle. But we did a nice job of tackling. We're faster and when you're faster you tackle better."
One surprise on defense was true freshman defensive tackle Jeremiah Jackson being one of 10 true rookies who played on Saturday night.
He did so because Patrick Jones was injured and unable to play.
"It was kind a situation with Pat Jones out where we needed another guy in there," Petrino said. "Jeremiah is a very, very intelligent football player. He's very explosive inside and can use his hands. We felt like with the number of games we had left we weren't going to redshirt him. He did a good job."
Asked if defensive tackle Zach Stadther would play this week, Petrino bristled.
"We'll determine that," Petrino said. "Sometime you guys are going to have to understand that I am going to talk about the guys who played and practiced."
This game will be the Warhawks' season opener with 10 returning starters from a 6-6 squad in 2009.
They have a new head coach in Todd Barry, someone the Arkansas staff is familiar with from his previous stops.
"I've coached against him before when he was at Army and he was the offensive coordinator at UNLV with (Arkansas wide receivers) Coach (Kris) Cinkovich," Petrino said. "So we have been studying and working on and breaking down a lot of film of UNLV."
The new staff does present a problem, but Arkansas' vaunted video system helps out in that regard.
"It is kind of hard when you have a new staff," Petrino added. "We'll be preparing for what we think their schemes to be, what we believe they are going to do, but then you don't really get to see their players doing it. So we have also have went back into last year's team and made highlight films of their skill guys and what plays their made. So we can study scheme and personnel.
"Defensively they have the same coordinator that they did a year ago," Petrino said. "It is a unique scheme, a difficult scheme. They are going to load the box and it's unorthodox so we have a lot of work to do and get ready for."
This week's game is at Little Rock's War Memorial Stadium, the site of the close shave with the Warhawks in 2008.
"We need a good week of practice," Petrino said. "We are looking forward to going down to Little Rock. We have 14 guys on our team from Little Rock so we always need to go down there and take care of business and do a job getting ready for the game. It is a great atmosphere and I am fired up about going down there."