Saturday, 18 June 2016

HLPE3531 - Biomechanics Blog by Aaron Robertson & Georgia Irvine


Major Question:



“What Biomechanical Principles are Required for Optimal and Efficient Performance and Execution of a Basketball Jump Shot?”



The Answer


Introduction


The Basketball jump-shot is a skill widely regarded as being pioneered by the late Sailor as early as 1943 who was the first person to shoot the ball in front of a defender by jumping and then releasing the ball (Christgau, 1999). Fast forward to today and the reigning MVP for the last two seasons in the NBA Stephen Curry bases his game predominately on this one technique. Additionally, the basketball jump-shot is an open skill, influenced heavily by the environmental contingencies produced within the sport of basketball (Cortis, Tessitore, Lupo, Pesce, Fossile, Figura, & Capranica, 2011).  With this in mind, based on biomechanics research, the following teaching sequence is designed for an intermediate player to reach optimal performance when shooting a mid-range to long-range basketball jump shot.

Preparatory phase


The preparatory phase of the jump-shot plays a significant role in influencing the success of the skill. The goal of this initial phase is to manipulate the body into a position where the centre of gravity is fixed over the base of support, providing the optimal position to initiate the next part of the skill; the vertical jump (Blazevich, 2013).To determine the optimal techniques and the biomechanical principles behind these techniques, there first needs to be a clear understanding of the environment in which the skill is to take place. As discussed previously the jump shot is an open skill and its execution is influenced by external factors most significantly the position of the defender. Therefore, the jump-shot is required to be a quick and explosive movement that allows the attacker to release a shot before the defender can block. Hence, there are two scenarios in which the preparatory phase of the jump-shot is influenced these are: receiving the ball and shooting off the dribble.

When receiving the ball the feet, body and hands should be prepared and ready to execute the jump-shot as efficiently and quickly as possible. The feet should be positioned such that they are staggered, with the shooting foot slightly ahead, approximately shoulder width apart, standing on the balls of the feet, followed by a slight flexion of the knees. This ensures that the centre of gravity is lowered and maintained within the base of support, providing stability and balance (Blazevich, 2013). If the feet are too narrow as seen in Figure 1(a) then it is more difficult to maintain a centre of gravity within the base of support. Conversely, positioning that's significantly wider than shoulder width as seen in Figure 1(b) impairs the athletes ability to change position and direction quickly.



Figure. 1 (a) stance too narrow (b) stance too wide. Retrieved from http://www.humankinetics.com/excerpts/excerpts/a-proper-stance-increases-your-shooting-percentage

Likewise, having the shooting foot slightly forward allows for the foot, shooting arm, and ball to be more closely lined up in a straight vertical line as seen in Figure 2 this is important as it's known that moving in a straight line allows for a greater chance to produce highly accurate movements (Blazevich, 2013).

Figure 2. Shows straight line position of ball,
feet and arms. Retrieved from:  
http://www.humankinetics.com/excerpts/
excerpts/a-proper-stance-increases-your-shooting-percentage
Figure 3. Stephen Curry producing jump shot off the
dribble. Retrieved from https://au.pinterest.com
/myawright453/stephan-curry


In relation to positioning the body for the execution phase off the dribble, the time constraints applied by the nature of basketball play influences the necessity for the attacker to brake as quickly and suddenly as possible to get into a position to execute the shot. 

As you can see from Figure 3 Stephen Curry the reigning NBA MVP for the previous two seasons is producing a jump shot off the dribble. The key point of focus is the first two frames on the right, which clearly show how he has planted his feet ahead of his body. This is done in an attempt to instill a braking impulse, as we know that when the foot lands well in front of the body’s centre of mass it produces a large braking force (Blazevich, 2013). This aids the player in reducing forward momentum, allowing them to come to an abrupt stop, and ensures that the body is in a position of stability and balance to commence the execution phase of the skill.


Execution Phase

Movement Phase 1


Newton's First Law - Inertia

Newton’s First Law: “an object will remain at rest or continue to move with constant velocity as long as the net force equals zero” (Romero, Santiago & Vergara, 2003), also known as Inertia, is important in the vertical jump movement phase. All objects with a mass have inertia and the larger the mass, the more difficult it is to change the objects’ inertia (Blazevich, 2010). This applies to both the vertical jump and the basketball itself. When the shooter is ready to jump off of the ground, he or she must change their inertia to a vertical motion (Romero, Santiago & Vergara, 2003). Centre of mass plays an important role in this resistance change and is evident in Figure 6 As we can see Curry applies the required force to jump, whilst keeping his center of mass central. This is important because, if whole body rotation occurs an unbalanced landing would result and effect the execution of the shot (Blazevich, 2010). Inertia can also be applied to the movement of the ball. The basketball is symmetric and can spin on any axis, therefore the mass moment of inertia is the center of the ball (Blazevich, 2010). Once the ball has left the shooters hands, it will continue to move horizontally through the air (linear velocity) until gravity pulls it back down (Blazevich, 2010).

Force/Summation of Forces

Force is a critical contributor of the basketball jump shot. The force used by the shooter to release the ball, and the force generated from the shooters contact with the ground during the initiation of the jumping action, dictate the accuracy and power of the shot . Wuest and Butcher (2009), suggested that: “Body force is produced by the actions of muscles. The stronger the muscles, the more force the body is capable of producing. However, the force of the muscle group or groups must be applied in the same direction and in proper sequence to release the greatest force". To obtain this maximum force, it’s important to combine the forces applied by different body parts; this is known as the summation of forces (Wuest & Butcher, 2009). To create optimum power, the shooter must use a summation of forces starting from their knees and legs and closing at their wrist and fingers to create the optimum force needed to propel the basketball.

Figure 4. demonstrates the summation of forces at work, in a basketball jump shot. Retrieved from: http://bleacherreport.com/articles/403405-the-genius-of-a-ray-allen-jump-shot-from-hero-to-zero
Figure 4 above is a progressive image of Ray Allen that demonstrates the summation of force at work. The summation of force begins in the calves, then moves to the quads, torso, and biceps and into the wrist, before eventually being applied to the ball through the fingertips (Wuest & Butcher, 2009). A key technical aspect to note is the position of the knee joint when starting the summation of force. The flexion of the knee joint at the initiation of the summation of force increases the range of motion of the knee. This provides more time to produce force and creates a greater velocity. Additionally, the shooter must still create adequate force to get off the ground. Newton’s Third Law is relevant in this movement phase, it states “For every action, there is an equal and opposite reaction” (Blazevich, 2010). This is significant, as it allows us to calculate the amount of force the shooter is required to produce to get off of the ground. Force is calculated using the formula: Force = (mass) x (acceleration) (Blazevich, 2010).

Kinetic Chain

The basketball jump shot involves a combination of both push and throw like movement patterns. In this movement phase the push-like movement pattern is most evident when the feet, ankle, knee and hip joints in the kinetic chain move simultaneously, generating high cumulative force and work together to create the jump. These joints extend to perform straight-line movements, and if the jump is executed correctly the overall accuracy of the shot will be increased (Knudson, 2007).


Movement Phase 2


Potential Energy

Potential energy is the energy connected to body position and is relevant in the second movement phase of the basketball jump shot. When the shooter is stationary they have the potential to gain kinetic energy (Winter, 2009). Potential energy refers to movement: distance and displacement. Decreasing the distance between the ball and the shooters body in the ready to shoot position (ball in fingertips, elbow in the L shape) will maximize the potential energy going into the release (Knudson, 2007). Therefore a player who holds the ball further away from their torso, is likely to have less potential energy than that of a player who holds it close, prior to release (Knudson, 2007).   

Figure 5. Shows the potential energy that can be gained
from holding the ball closer to the torso upon delivery.
Retrieved from:
http://www.espn.com.au/nba/story/_/
id/10703246/golden-state-warriors-stephen-curry-rein
venting-shooting-espn-magazine

Figure 6. Demonstrates that holding the ball away from the torso
 upon delivery, will produce minimal potential energy. Retrieved from:





























Figure 5 shows an image of Stephen Curry in the delivery phase of the basketball jump shot. The angle between his bicep and forearm is much smaller than that of the angle seen in Emmanuel Mudiay’s arm in Figure 6. Disregarding other external factors that could influence each jump shot, Figure 5 is likely to have more potential energy and overall result in a successful shot, as apposed to Figure 6. Stephen Curry who was not only the MVP but one of the most efficient shooters from beyond the arc in the 2015/16 season, utilizing the jump-shot, with a 55% success rate. This is compared to Emmanuel Mudiay who only successfully scores 27.6% of the shots attempted beyond the arc (nba.com, 2016). Whilst there are other influencing factors that contribute to these statistics, potential energy could have played a considerable role in Stephen Curry's efficiency rating (nba.com, 2016). 

Angle of Projection

The angle of projection is a crucial factor that influences the projectile range (Knudson, 2007). Objects can be projected at angles between 0 and 90 degrees, these objects will travel both vertically and horizontally. An object projected at an angle of 0 degrees will travel horizontally but remain on the surface it was projected (will not become airborne). If an object is released at a projection angle of 45 degrees, the object will have an equal magnitude of vertical and horizontal velocity and its range will be maximized (Knudson, 2007). The exact release angle of the jump shot is controversial, as the player’s position on the court, their height, the height of release and their shoulder and trunk angle all affect the angle of release (Hudson, 1982). Therefore, research suggests that release angles between 45-55 degrees will significantly increase the chance of a successful goal (Hudson, 1982). Optimal performance of the technique requires a higher angle of release to increase the trajectory of the ball, as a lower release point and a lower angle of projection would result in the ball reflecting off of the ring. 


Figure. 7 Illustrates the trajectory path

of a basketball released at a 45 degree

angle (Hudson, J.L., 1982

Projection Speed

The distance the ball travels, both horizontally and vertically, is influenced by its projection speed (Blazevich, 2010). There are two projectiles in the basketball jump shot; the ball and the player in the jump motion. The projectile speed of the ball needs to be both horizontal and vertical, whilst the player needs to be only moving vertically. The shooter should aim to release the ball at the very peak of their jump for optimum performance and success rate. At this point there is minimal forward, upward and downward speed, which otherwise could affect the shooters judgment of force to exert. The vertical velocity of the shooter’s body adds to the vertical velocity of the ball (Projectile Motion, 2013). The ideal angle of release for a jump shot attempted from mid-range (inside the 3 point line) is 52 degrees. This provides the ball with minimum speeds that allows for a clean, successful shot (Elliott & White, 1989). See Figure. 7.






Movement Phase 3


Kinetic Chain

During the final stages of execution, the throwing motion is the dominant movement pattern. This occurs when the shoulder, elbow and wrist joints in the kinetic chain extend sequentially, one after another  (Knudson, 2007). The shoulder begins to extend, while the elbow is still flexing during the lead-up to release phase. In the later stages of release, the extension velocity of the hands and fingers increase greatly which results in high ball release velocity (Knudson, 2007). See Figure 8.

Figure. 8 Demonstrates a progression image of Steph Curry performing a jump shot. Retrieved from: http://www.espn.com.au/nba/story/_/id/10703246/golden-state-warriors-stephen-curry-reinventing-shooting-espn-magazine

Newtons Second Law of Motion

Newton’s Second Law of motion comes into play during this movement and directly applies to this movement phase of release; “the acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force and inversely proportional to the mass of the object” (Romero, Santiago & Vergara, 2003). To change an object’s state of motion, a force needs to be applied, this can be observed in the later progressions of Figure 8, where Curry applies the required force to the ball to accelerate it out of his hands. The ball steadily gains momentum and is forced in the direction of the goal (Romero, Santiago & Vergara, 2003).


Newton’s Third Law of Motion

Newton’s Third Law is also evident during this movement phase. As the ball gains momentum towards the basket, it acts back on the shooter, however because the shooter is going to carry a greater mass than the ball, he or she will not take off with an equal speed in the opposite direction (Knudson, 2007). Therefore will not accelerate backwards, during the balls forward acceleration (Romero, Santiago & Vergara, 2003). This is important as it allows the athlete in the release of the shot to remain in an upright vertical position, which improves the likelihood of the athlete landing in a balanced and stable position, ready to make the next move.

Movement Phase 4


Ball Rotation

In addition to optimum projection angle and projection speed, ball rotation is also a crucial component of the release (Hamilton & Reinschmidt, 1997). Backspin applied to the ball during the jump shot serves to decrease the horizontal velocity of the ball. Hence, if the ball strikes the rim or the backboard it will fall downwards(Hamilton & Reinschmidt, 1997). The wrist action and angle of the forearm are the two critical techniques the shooter should focus on to generate backspin (Lam, Maxwell & Masters, 2009). When the ball is held with the correct grip and the forearm aligned vertically, the shooter can apply the required backspin on the ball, this is evident in Figure 6. The flexion of the wrist occurs quickly at the end of the shot, upon release. Studies suggest that skilled shooters often release the ball with their wrist slightly hyper-extended, reamining in this state until the ball has completely left the hands for the follow through (Knudson, 2007). This can be seen in Figure 5 above.


Follow Through Phase


The follow through phase is the last phase of the jump shot and begins with how the player lands from the jump. It is significantly important that the player lands back in the balanced stance that he or she took off from; this prepares them for the next action they need to execute (Knudson, 1993). Like the role of inertia in the take-off of the execution phase, it’s significantly relevant to the landing. After the shooter leaves the ground, they will initially move upwards and only begin to descend when acted on by the force of gravity, which will take place after the ball has left their hands (Ganley, 2013). An important factor in the technique of landing is attempting to flex the lower limbs before landing, and land on the balls of the feet (Bober, Rutkowska-Kucharska, & Szpala, 2003). The critical reason for instilling flexion at the ankle and knee joints is to reduce the amount of force exerted on the legs at landing. Likewise, the earlier the heel is contacted with the ground the larger the impact force (Bober et al., 2003). As you can see in Figure 9 Ray Allen has clear flexion in the lower limbs, as well as, landing on the ball of his feet. Ensuring the athlete makes a soft landing is vital to reduce excessive local load on the lower limbs and preventing potential injury (Struzik, Pietraszewski, & Zawadzki, 2014). To ensure the optimal technique of a skill, there must be sustainability in the movement pattern, otherwise the long-term success of the athlete may be affected.

Figure. 9 Ray Allen landing from a jump-shot. Retrieved from: Retrieved from: 
http://bleacherreport.com/articles/403405-the-genius-of-a-ray-allen-jump-shot-from-hero-to-zero

The follow through of the arm and wrist is dependent on the movement of the arm and elbow position during the previous phases. The shooter should aim to follow through with their wrist, so that it finishes fully extended and fingers pointed downward. This is evident in Figure 10. Ensuring that the athlete maintains the extension of the wrist, will improve the probability that the athlete has successfully instilled the correct ball rotation during the execution phase. 


Figure. 10 Stephen Curry demonstrates the flexion of the wrist after ball execution. Retrieved from: http://www.espn.com.au/nba/story/_/id/10703246/golden-state-warriors-stephen-curry-reinventing-shooting-espn-magazine



How else can we use this information?


In deconstructing the optimal technique in  the jump shot and the biomechanical principles that justify it, similarities can be found within other sports which utilize similar movements to capitalize on these biomechanical principles. Key similarities between multiple sports can be observed in the utilization of push-like patterns in the legs followed by a throw-like pattern in the arms. For example, during the tennis serve , players utilize a push-like pattern in the lower limbs to launch themselves into the air, providing vertical velocity, this is then followed by a sequential extension of the racquet arm to instill a throw-like pattern and hit the ball (Blazevich, 2013). Likewise, you can see a similar utilization of push and throw like patterns in other open kinetic chain skills such as, the javelin throw, netball chest pass and even bowling in cricket.

Another key technique within the basketball jump-shot that is utilized in other sports is quick flexion of the wrists as the ball is released, in an attempt to apply a backwards rotation on the ball. We can see comparable techniques used in bowling in cricket. The bowler at the final release of the ball will instill rapid flexion of the release hand to produce a backward rotation (Blazevich, 2013). Likewise, the same concept is utilized in a shot for goal in netball.

Relative height of projection is another biomechanical principle utilized in the jump-shot that can be observed in a variety of other sports. Skills that require getting the object over a net such as tennis and volleyball. In relation to the serve of these two sports, the skill requires a vertical jump before the object is released. This decreases the angle required to get the ball up and over the net, reducing the need for vertical velocity, and allowing for greater force to be concentrated on producing horizontal velocity (Blazevich, 2013).


Another key point that can be determined through considering the optimal technique of the jump-shot and the corresponding biomechanical principles, is the influence these answers can have on the required optimal physiological factors that will enhance the techniques suggested. For example, we know from Newton’s second law that to accelerate ourselves into the air we need to minimize mass and increase the force that we can apply(Blazevich, 2013). Therefore, in the endeavor to produce the largest vertical jump possible for optimal performance in the jump-shot, the athletes should attempt to increase power while maintaining a relatively low body weight. Similarly, as discussed before in relation to injury, if  the mass of the athlete is decreased a reduction of the force of the lower limbs would be applied when landing.



References:



Blazevich, A. (2010). Sports Biomechanics The Basics: Optimising Human Performance. London: A&C Black Publishers.

Blazevich, A. J. (2013). Sports biomechanics: the basics: optimising human performance: A&C Black.

Bober, T., Rutkowska-Kucharska, A., & Szpala, A. (2003). Hard vs. soft landing in depth jump. Acta of Bioengineering and Biomechanics, 4, 595-596.

Christgau, J. (1999). The Origins of the Jump Shot: Eight Men who Shook the World of Basketball: U of Nebraska Press.

Cortis, C., Tessitore, A., Lupo, C., Pesce, C., Fossile, E., Figura, F., & Capranica, L. (2011). Inter-limb coordination, strength, jump, and sprint performances following a youth men's basketball game. The Journal of Strength & Conditioning Research, 25(1), 135-142.

Elliott, B. C., & White, E. (1989). A kinematic and kinetic analysis of the female two point and three point jump shots in basketball. The Australian Journal of Science and Medicine in Sport, 21(2), 7-11.

Hamilton, G. R., & Reinschmidt, C. (1997). Optimal trajectory for the basketball free throw. Journal of Sports Sciences, 15(5), 491-504.

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Hudson, J. L. (1982). A biomechanical analysis by skill level of free throw shooting in basketball. Biomechanics in sports, 95-102.

Hung, G. & Pallis, J. (2004). Biomedical engineering principles in sports. New York: Kluwer Academic/Plenum Publishers.

Knudson, D. (2007). Fundamentals of biomechanics. New York, NY: Springer.

Knudson, D. (1993, Feb). Biomechanics of the basketball jump shot - six key teaching points. JOPERD - The Journal of Physical Education, Recreation & Dance, 64(2), 67-77.

Lam, W. K., Maxwell, J. P., & Masters, R. S. W. (2009). Analogy versus explicit learning of a modified basketball shooting task: Performance and kinematic outcomes. Journal of Sports Sciences, 27(2), 179-191.

Projectile Motion. (2013). [Blog] What are the biomechanical principles that underpin the basketball jump shot?. Available at: http://olivia-ganley.blogspot.com.au/ [Accessed 15 Jun. 2016].

Romero, J. M., Santiago, J. A., & Vergara, J. D. (2003). Newton's second law in a non-commutative space. Physics Letters A, 310(1), 9-12.

Struzik, A., Pietraszewski, B., & Zawadzki, J. (2014). Biomechanical Analysis of the Jump Shot in Basketball. Journal of human kinetics, 42(1), 73-79.
Winter, D. A. (2009). Biomechanics and motor control of human movement. John Wiley & Sons.


Wuest, D. A., Butcher, C. A. (2009). Foundations of Physical Education, Exercise science, and Sport. New York, NY: McGraw-Hill