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The Science Of Swish: Basketball Coaches, Players Search 'Perfect' Shot

Noah

First Posted: 05/10/2012 1:07 pm Updated: 05/17/2012 12:17 pm

The original plan was merely to help his eighth-grade daughter with her flat basketball shot, but somehow Dwyane Wade, Jeremy Lin and the entire Gonzaga University men's basketball team ended up benefiting from Alan Marty's high-tech basketball contraption.

Formerly a guard at North Central College in Illinois, Marty is a 54-year-old former physics professor, Stanford MBA and currently a venture capitalist in the Silicon Valley.

"Name one player with a flat shot that ever fixed it. It just doesn't happen," Marty told The Huffington Post. "You can sit there for a while and maybe fix it for 10 minutes in one practice, but when they're in the game, they always go back to their old shot. The idea was to fundamentally change how people learn so that they can actually get better at ball control."

After months of research, Marty and a small team developed the Noah Shooting Machine. Its tag line reads: "Building the perfect arc." By snapping high-speed digital photographs, the device tracks the trajectory of each shot. The ideal score is a "45," for a 45-degree angle. Marty's data convinced him that this was the optimal arc of any shot.

According to Marty, Northern California was quickly buzzing about his shooting machine. Soon, then-general manager Chris Mullin of the Golden State Warriors -- considered one of the premier shooters of his generation -- purchased one for his club, as did the Dallas Mavericks.

"It's not magic," Marty says with the zeal of a salesman. "It goes back 12 years to fundamental neuroscience stuff that we did with Stanford. If you don't get the real-time feedback within a half a second for fine motor skills, it's essentially worthless."

Such "real-time feedback" led seven-time NBA All-Star Dwyane Wade to turn to Marty's product during the 2011-2012 season. The machine measured an arc of "40" on Wade's flat shots from the free-throw line. During the season, Wade told reporters that "[the Noah] is great for me and the guys because you can hear what number you're at when you make a shot" (see 3:14 mark in the linked video). After opening the season shooting just 71 percent from the line through January 25, Wade began practicing on the machine while rehabbing an injury. Eventually, he finished the season at 79 percent, the second-best mark of his career.

According to a 2003 article by USA Today, "the average free throw shooting percentage has hovered between 71 percent and 77 percent since 1955. Almost 16 percent of NBA final playoff games since 1952 have been won by one or two points, as have 17 percent of NCAA tournament games."

"The biggest thing coaches say over and over is, 'Lift the ball, shoot it up,'" John Welch, an assistant coach for the Denver Nuggets, told The Huffington Post. "We get tired of saying it; they get tired of hearing it. You can say it ten times and the ball flight doesn't change. They think they're lifting it but they're not. You put them on the Noah machine and they hear '39.' Well, their next shot is going to be 45. They react according to the objective data of Noah."

(The Noah Instant is the latest development. The product is permanently mounted and broadcasts the data so that a player can receive feedback via the "MyNoah" app, for iPhone, iPod Touch or iPad.)

Jerry Krause, an assistant coach for the Gonzaga Bulldogs and one of Noah's original researchers, credits the machine with helping former Gonzaga center Robert Sacre. One of the team's best players during the 2011-2012 season, the 7-foot center entered the program as a "rock shooter who couldn't find the basket as a freshman," according to Krause. During his first two seasons, he never shot better than 63 percent from the free-throw line. But in his final two years, he became one of the best free throw shooting big men in the country, hovering around 76 percent as a senior.

While no one would dispute the value of real-time feedback and consistent practice, there is far from universal agreement over Marty’s contention that 45 degrees is the optimal shot arc. Welch's good friend Bob Tate, who is credited with transforming Jason Kidd's jump shot from a liability to a strength, does not agree that 45 degrees is the optimal shooting arc.

"The arc is an interesting debate," Welch says. "Bob believes in shooting the ball straight up in the air, basically. He believes in shooting it in an arc of 55 (degrees). I totally bought into his method because the ball swishes."

According to Welch, however, basketball's sweetest sound may not always translate to the highest success.

"The Noah team will explain with data that you will get more swishes with higher [arc peaks], but you won't get more makes," Welch explains. "There's a bigger swishable area, but a smaller makeable area.”

Tom Nordland, a California-based shooting coach, also endorses a style vastly different from that conditioned by the Noah.

"[Noah] thinks there is a perfect arc, but there is no perfect arc,” he says. “A guy that [worked with Tim Duncan on the Noah] told me that Tim kept denying it, saying '[My shot] can't be that flat.' It woke him up and had value. The same guy tested Dirk Nowitzki on the machine and his arc was in between 55 and 60 degrees."

It is of course hard to argue with whatever arc Nowitzki's shots were traveling along, since he led the Mavs to the 2011 NBA title over Wade's Heat. But if Wade finds himself standing at the line in a key moment come June, then he may have the chance to make a more emphatic statement on behalf of Noah than Marty ever could.

Email me at jordan.schultz@huffingtonpost.com or ask me questions about anything sports-related @206Child.

Plus, check out my new HuffPost sports blog, The Schultz Report, for a fresh and daily outlook on all things sports and listen to my radio spot on 1280 The Zone Friday nights at 6:10 for full NBA Playoff coverage. Also, tune in at 6:30 ET Wednesday nights on Memphis 56 Sports Radio, right here.

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The original plan was merely to help his eighth-grade daughter with her flat basketball shot, but somehow Dwyane Wade, Jeremy Lin and the entire Gonzaga University men's basketball team ended up benef...
The original plan was merely to help his eighth-grade daughter with her flat basketball shot, but somehow Dwyane Wade, Jeremy Lin and the entire Gonzaga University men's basketball team ended up benef...
 
 
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04:06 PM on 11/21/2012
this device probably helps a little on free throws and even less on regular shots. every shot is unique and this is trying to over simply it with a lot of (i assume) expensive technology. hours of games and hours of game-like practice is all you can count on. don't waste your time or money.
10:20 AM on 07/22/2012
This is an interesting article but it would be better if the author defined exactly what angle he is referring to. For example is a "55 degree arc" the angle that the ball leaves the fingertips or the angle that the ball enters the hoop? Is it measured relative to horizontal or relative to vertical? A simple diagram that defines the angle would be helpful.

There are a couple of analyses made about the perfect arc, namely by physicist Peter Brancazio and another by physicist John Fontanella. I disagree with both of these analyses. In my book, I cover this subject in great detail and consider several issues that Fontanella and Brancazio overlook. I show there is not one "perfect arc" but a range of arcs that are optimal. This optimal range is between 48 degrees and 52 degrees, measured upward from the horizontal at the point where the ball enters the hoop.

Most players shoot at flatter trajectories so that they can expand their range. Shooting higher than 45 degrees when further than 25 feet from the hoop requires the shooter to apply force that he is uncomfortable with. Rather than shoot uncomfortably, they shoot flat, which is not a good option either. Shooting flat offers a means to go after the "fools gold" of basketball - the almighty three.

Steve Watkins, Author of “Finding a Rhythm – Basketball Scoring Fundamentals Based on Science” (published in June 2012)
01:22 AM on 06/06/2012
Thank you for sharing let people know, your article very interesting. Hope you and everyone is supporting him: http://detaihay.net/forum.php
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12:02 PM on 05/16/2012
So where is the video.
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09:04 PM on 05/15/2012
The torso is stationary and 90 degrees from the floor if possible with knees always bent. feet are apart 14-16 inches, elbow points to middle of rim in the "shot pocket" jimmy dykes describes. ball is released, in its very purest shooting form with follow though at last millisecond from the inner half of the right index finger alone...I can go 425/500 from college 3 line on a good day...26 in a row from 3 indoors, 18 outdoors.
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06:53 PM on 05/15/2012
I believe in the " arc ". But I don't call it the arc. I say the player who shoots a flat shot needs to put more air under the ball.

The Knicks Landry Fields is one of those players who needs to put more air under the ball when he shoots.
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RusStyles
Author of Getting Back in the Game!
07:52 PM on 05/15/2012
I agree that arc is vital, along with back spin...It gets considerably more complicated when shooting on the move, spinning or fading.
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03:30 AM on 05/16/2012
Good observation re: Landry. I think in his case, by the time he's done hustling to get open, his legs are exhausted and he's not getting them under his shot. At least he's had some nice dunks though!
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Blackspeare
05:47 PM on 05/15/2012
The problem with basketball is that the hoop is too low-----it should be 18 inches higher and then we'd see some real skill in making a goal.
06:55 PM on 05/10/2012
This is an AWESOME story -- a very interesting side insight to what makes these guys took. Fine job Jordan.
06:59 PM on 05/10/2012
Meant to say: what makes these guys *tick.