“Generally there are small differences between the right and left leg, but I think they are normally about 1, 2, 3 percent,” Mero said in a telephone interview. “This sounds a little bigger.”
Given the scoliosis and discrepancy in the length of Bolt’s legs, Mero said, the sprinter’s stride appeared optimal for him. “If the coach would try to change the pattern, it would not be good,” Mero said.
Jamaican men and women won 11 of the 18 available medals in the 100 at the past three Olympics, though the Caribbean island has a population of only 2.8 million. Theories about Jamaican sprinting success have ranged from their proportion of fast-twitch muscle fibers to a renowned youth development system to a public health campaign dating to the 1920s.
At its most basic, speed is the product of stride length times stride frequency. Though Bolt stands 6 feet 5 inches, he starts nearly as explosively as smaller sprinters and needs only 41 strides to cover 100 meters, while other elite runners need 43 or 45 or even 48.
No sprinter can accelerate for a full 100 meters. But once Bolt reaches top speed at 60 to 70 meters, he maintains his velocity more efficiently than others, decelerating less toward the finish line. The winner of a sprint is not the person speeding up the fastest at the end but slowing down the slowest.
It was once widely assumed that the swiftest runners achieved top speed by swinging their legs more rapidly than slow runners while repositioning their limbs between takeoff and landing.
In a 2000 study, Weyand, then working with a team at Harvard, determined that elite sprinters did not swing their legs appreciably quicker through the air. Instead, they gained maximum speed by striking the ground with a greater force than others in relation to their body weight, and for a shorter period of time.
For Olympic-caliber sprinters, that peak force can equal five times their body weight, providing lift and propulsion to begin the next stride. In Bolt’s case, his peak force can surpass 1,000 pounds.
Peak impact force is delivered within three-hundredths of a second, or 30 milliseconds, of striking the track. It is one of the most critical moments of sprinting. Less force put into the ground means less pop back into the air. Laurence Ryan, a physicist in the S.M.U. lab, calls that period “30 milliseconds to glory.”
In other words, Weyand said, “You win your medal or you’re out of the running based on that short duration.”
Unlike elite marathon runners, who strike the ground with a force equal to about three times their body weight and who must repeat each step about 25,000 times over 26.2 miles, sprinters are not concerned with endurance and fuel efficiency over 100 meters.
Marathon runners are the biped equivalent of a Prius. Sprinters are like dragsters, seeking to generate maximum speed and power over a short distance.
Elite sprinters do not land passively and spring back into the air as if their legs were pogo sticks, the S.M.U. lab found in two 2014 studies. Instead, the sprinters cock the lead knee high and drive the foot into the track with a stiffened ankle. Essentially, it is a punch delivered with high velocity and a sudden stop.
“It’s like a ball bearing hitting the ground,” said Ryan, the physicist.
Sprinters like Bolt land just behind the ball of the foot, which strikes the ground at an angle of about six degrees. His lower leg decelerates abruptly, absorbing 16 Gs of force. His heel drops for only two-hundredths of a second — the equivalent of an inch — before rising again. The total time spent on the ground with each stride is about nine-hundredths of a second.
In effect, there is one biomechanical way for world-class sprinters to run extremely fast.
“They’re machine-like,” Weyand said. “It’s incredible the extent to which they do the same thing.”
The S.M.U. researchers did not know that one of Bolt’s legs was longer than the other when they began their study six months ago. They were testing a new motion-based technique, called the two-mass model, which allows them to determine ground forces by using high-speed video of races instead of specially equipped treadmills in the lab.
Udofa, the lead researcher, examined 20 steps apiece taken by Bolt and three other elite 100-meter sprinters, using video from a race in Monaco in 2011.
On average, Bolt struck the ground with 1,080 pounds of peak force on his right leg and 955 pounds on his left leg. Because his right leg is shorter, it has a slightly longer drop to the track, contributing to a higher velocity for that step.
“The logical thing to think is, well, you want both legs to deliver as much force as possible and if one is not delivering as much force, if it delivered more force, he’d go faster,” Weyand said. “But that superficial logic doesn’t really flesh out.”
A natural adaptation for Bolt has been to keep his left leg on the ground for slightly more time with each step — 97-hundredths of a second, compared with 85-hundredths of a second for the right leg. This gives him slightly more time to generate force with the left leg, Weyand said, providing greater lift off the ground.
Ralph Mann, a pioneering biomechanics researcher in the United States, said he could detect a kind of gallop in Bolt’s uneven stride. But a variability of 13 or 14 percent was surprising, Mann said, given that his consulting work with USA Track and Field generally found an asymmetry between zero and 7 percent among elite sprinters.
“That’s a huge number; when you see that you’re going to find a physical abnormality,” said Mann, who won a silver medal in the 400-meter hurdles at the 1972 Munich Olympics. But by strengthening the so-called weaker leg, he added, “I can think of no reason why that’s not going to improve performance.”
There is one person who apparently does not find the S.M.U. research particularly interesting. That is Bolt himself, according to his agent, Ricky Simms, who said in an email, “He isn’t the kind of person who studies this type of thing.”
But Simms, an Irishman who studied biomechanics at university, said he found the research illuminating, given Bolt’s history of back and leg injuries and his need for regular therapy to stay healthy. He has struggled in his two races this year and has yet to break 10 seconds in the 100.
“I expect the researchers may get varying results in tests like this depending which race they were analyzing and depending what particular muscle or joint was tight at the time,” Simms said.
Shortly after Bolt retires, the S.M.U. researchers hope to persuade him to visit their lab for more direct testing on a treadmill.
“People donate their bodies to science,” said Udofa, who is leading the study. “He could donate his forces to science.”
An earlier version of this article misstated in one place the time Bolt’s feet spend on the ground. It is 97- and 85- thousandths of a second, not hundredths. An earlier version also misstated Jamaica’s success in sprint events at the three most recent Olympics. Jamaica won 11 of the 18 medals available in the 100 — not in the 100 and 200.