Hamilton, who won his fourth F1 championship in the Mexico GP, walked away from the crash without injury and will start at the back of the grid on Sunday.
Hamilton had the fastest lap in the morning session, clocking 1 minute, 9.202 seconds on the hilly Interlagos circuit.
The "Paradise Papers" revealed that Hamilton was given a refund of more than $4 million after his Bombardier Challenger 605 was imported to the Isle of Man in 2013.
Hamilton used an Isle of Man company to avoid paying a value-added tax of 3.3 million pounds when he imported the aircraft into England in 2013.
Red Bull's Max Verstappen believes the cars designed by Mercedes have helped Hamilton to win four times.
Vettel will be seen in action in the next Formula One race of 2017, which will take place on November 12.
Hamilton feels that someone is always there to take his place and Max Verstappen is the person that creates competition for the Mercedes driver.
The 32-year-old's new expected extension is said to be worth £100m, with his new deal set to be evaluated in the region of £120m.
From 2021, teams will still use the 1.6 Litre, V6 Turbo Hybrid, but - crucially - it will be run at 3,000 rpm higher to increase noise.
Hamilton's 2017 title ties him with Vettel and Alain Prost as four-time winners while Manuel Fangio won five and Schumacher's seven championships still tower over the sport.
Hamilton won his fourth career championship Sunday with his ninth-place finish at the Mexican Grand Prix
Hamilton won his fourth career Formula One championship on Sunday with a ninth-place finish at the Mexican Grand Prix.
Verstappen's lap of 1 minute, 17.113 seconds topped Hamilton by 0.075 seconds at the Autodromo Hermanos Rodriguez circuit.
Verstappen thought he had a third-place finish in Texas before he was penalized for an improper last-lap pass and was taken off the podium.
Hamilton, however, did not hesitate to admit that he "loves" drivers being able to participate in other series away from F1.
Hamilton is currently maintaining a 66-point lead over Germany's Sebastian Vettel of Ferrari with three F1 races remaining, he is looking forward to claiming his fourth world championship this season.
Retired Jamaican sprint star Usain Bolt jumped in a sports car for two laps with Mercedes driver and Formula One championship leader Lewis Hamilton ahead of Sunday's U.S. Grand Prix.
Hamilton tightened his control on the F1 season title by winning the U.S. Grand Prix on Sunday ahead of title rival Sebastian Vettel, who finished second.
The Mercedes driver holds a 59-point lead over Vettel with four races to go and Vettel will be desperate to push for the win.
Hamilton has won the last three years at a Circuit of the Americas track that has favoured Mercedes' power.
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