Hamilton will start Sunday's race on super-soft tyres - the only driver in the top ten to do so - in the hope that he can repeat the teenager's example.
And he looked like he had the pace to be potentially fastest then, too - which would have meant starting sixth following his penalty for an unauthorised gearbox change - but he made crucial mistakes on all his laps before a yellow flag for a stranded auto effectively ended the session early.
"The vehicle was getting better and better and the grip was coming up". He did get one last flying lap in toward the end of Q3, but made a number of small errors and backed off.
"It should be a good fight tomorrow, the target is not less than winning for us".
"I found out on Tuesday", he said. Today it is still hard to judge, but the vehicle is very good and we made some improvements.
He was about to go again when there were yellow flags out for two different incidents. "It's a great track, really enjoyable with a lot of high-speed corners".
"It should be a good race".
The gloves in the championship battle between the pair came off a fortnight ago in the Azerbaijan Grand Prix when Vettel, believing Hamilton had brake-tested him, swerved his Ferrari into the Briton's Mercedes behind the safety auto.
The three-time world champion, who is 14 points behind championship leader Sebastian Vettel of Ferrari in the title race, topped both sessions with aplomb.
This company is making a smartphone with holographic display
It also said it may face production limitations in the future and that the Hydrogen One would be available for a "limited time". Along with the holographic display, the Hydrogen One has a modular system that will allow the installation of new components.
"Congratulations to Valtteri and to Sebastian", he said.
A speed haven, with just 10 corners - three of which are taken flat out - to trouble drivers, Mercedes have predictably dominated in Austria since its return to the F1 calendar in 2014 and theirs remains the quickest auto in a straight line - of which there are plenty this weekend.
A Mercedes team spokesman said the gearbox problem resulted from the previous race in Azerbaijan, where Hamilton started on pole but finished fifth after having to pit to fix a loose headrest. I think come practice, come race day you try to do your best.
"I tried a lot of different lines at turn three and all the time I was losing the rear of the auto".
"I think you must try also to interpret the situation well". You lose easily two and a half tenths on that straight if you don't have DRS. "But I will give it everything I can and of course I will be happy if I get up there".
"It was pretty straightforward session, there were no real issues, the auto was good", he said. Obviously we never know, with conditions and so many things, but normally in qualifying the Mercedes have a big advantage but that was not the case today.
Hamilton will slot in in eighth ahead of the Force India duo of Sergio Perez and Esteban Ocon.
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