The Answer



What is the best way to hold the ball? 

The best way to hold the ball relates to torque and momentum. Torque or moment of force is “the magnitude of the force causing the rotation of an object (or particle in a body) is the moment of force” (Blazevich, 2012, p. 63). In other words, moment of force refers to applying a force at a distance from a pivot point (moment arm) and can be calculated by torque = force x distance (Figure, 1). In the case of a jump shot, the pivot points are the knees, shoulders and elbows which require force to move or rotate. For example, the biceps brachii is a muscle which produces forces at a distance from the shoulder to flex the arm and is therefore a torque. Players should utilise the longer moment arms (muscles) of the legs and arms to increase the overall torque of the system. The hamstrings, quadriceps femoris group and upper arm muscles should exert the greatest amount of force and increase torque. The torque generated about a joint is the sum of all forces acting across the moment arm.


To increase torque of the jump shot, players should hold the ball on the fingertips without touching the ball on the middle of the palm. This technique further increases the distance of the force from the pivot point. The acceleration of an object is greater if the moment of force is increased through this technique. Furthermore, the technique also allows conservation of momentum as the wrist and fingers can flex and extend without being lost through the touching of the ball to the palm.

                                                         
                                                                         Figure 1 
                                                                  (Blazevich, 2012)





Should players shoot with one hand or two?

Kinetic energy is the energy associated with motion, suggesting that an object with a greater mass or velocity has a greater production of energy. Therefore, kinetic energy is the energy associated with movement. In regards to the basketball jump shot, comparing a two handed with a one handed jump shot is relevant. Evidence has clearly shown that a two-handed jump shot is not a highly beneficial technique in regards to optimal techniques (Fontanella, 2008) . 

The use of the one handed jump shot is more useful whereby the guiding hand is advantageous. This is because letting the non-dominant hand go off the ball and using it as a guiding hand generates more kinetic energy and force with the body due to rotation. The use of the dominant hand to push the ball generates increased kinetic energy with the aid of the guide.  Therefore, this creates a longer kinetic chain as the arm travels over a longer distance. Consequently, the use of the one handed jump shot with the guide hand generates more kinetic energy as opposed to the two handed jump shot release in regards to generating the optimal technique. Relatively, this also increases the lever arm, which additionally influences and generates a greater amount of kinetic energy.

Overall, the two handed shot was the standard basketball shot many years ago. However it has changed overtime due to varying reasons. Firstly, because a one handed shot allows an individual to push the ball directly at the net, whereas the two handed shot often led the ball askew left or right. The elbow aim is also important. On a proper jump shot it is easier to gather the ball if the individual is jumping properly which is difficult to perform whilst executing a two handed shot. Likewise, it is easier to adopt a full and consistent extension of the arm with one arm as opposed to two. Other mechanical advantages of adopting a one handed shot include, releasing the ball higher on ones body, as executed in the one handed shot not in the two handed makes it more difficult for opponents to block. This is a huge advantage if taking a contested shot. Consistency is also experienced at a higher rate in the one handed shot. Applying an even force in a highly repeatable way is the only way to adopt a shot such as Nash for example whom is a relatively consistent shooter in the NBA. This ties in with the release and spin of the ball. Having a steady, directional release combined with a pointed elbow directing force t the basket is easier to aim with. It is relatively impossible to consistently apply the exact same pressure onto the ball using a two handed technique.  Lastly, ensuring to have a goof consistent backspin on the ball aids the ball to take more favourable bounces around and in the rim and backboard. Therefore, it is clear that to successfully and consistently make baskets, a one handed approach is more advantageous.

Push-like movement of the shooting arm.

Eye level remains relatively constant throughout the final stages of the basketball jump shot through a push-like motion. The joints of the shooting arm in the flow of the kinetic chain moves simultaneously in a single movement through the shoulder, elbow, wrist and fingers. Therefore accumulating a higher force also known as torques, which in turn results in a higher overall force being delivered in the jump shot. This force is generated from the leg through the torso up to the arms concurrently generating force, which is transferred onto the ball. Momentum is maintained through the push-like motion of the jump shot as the arms and legs move fluently through the technique. Momentum conservation prevents a loss of energy and force, producing an optimal jump shot. The upward simultaneous motion increases accuracy and joint rotations result in a straight-line movement at the end of the chain. This is demonstrated in the jump shot, which is evident in the straight-arm projection after ball release. This promotes greater accuracy allowing the ball to be aimed at the subsequent placement of the ring with a higher generation of force. Angle of release is necessary to consider, as the individual is lower then the ring itself. The push-like motion is useful to reach high and achieve a high trajectory. This is important so that the ball can reach the ring with optimal angle of release. A higher projectile angle prevents deflection by a defender, as the ball would pass over their reach. Consequently the individual must perform this movement fluently to generate the appropriate force and accuracy. If this is not performed, momentum will be lost therefore limiting the torque of the shot.  

Should the athlete impart backspin on the ball?

Players can create rotation of the ball, which has been found to maintain ball velocity during flight after the initial release of the shot (Knudson, 1993). Therefore, it is clear that backspin should be applied to the ball in the basketball jump shot. The back spin is caused due to the distribution of ass relative to the centre of rotation which is applied to the ball through the kinetic chain. This is highly advantageous as back spin makes the ball land softly in the rim, and often creates a favourable shooters bounce, resulting in a successful basket, even if the shot was not executed perfectly. In order to generate backspin, the shoulders should be used as a hinge. The shooting arm should extend forwards toward the hoop, ensuring to keep the elbow in towards the body. The elbow then extends and the ball is released in a swan neck analogy, snapping the wrist, causing the ball to roll off the pads of the fingers. This imparts the backspin which is an attribute of all good shooters. Remember, not to shoot the ball off of the palm of the hands, or backspin will not occur and the shot will not be successful. 

Why is the optimal angle of release not 45° for a successful jump shot?

The angle of projection is demonstrated in Figure 2. The release angle affects the range and accuracy of the ball, which is especially important when performing a jump shot from a distance away from the ring. There is not one single optimal angle of release for a jump shot as the angle depends on the player’s distance from the ring, the projection speed and the relative height of release. The closer the player is to the ring, the higher the launch angle needs to be (Knudson, 1993). It is believed the optimal angle of projection for a jump shot is between 49 and 55° to allow adequate horizontal and vertical magnitudes for the ball to reach the ring with an optimal arc to enter the ring (Knudson, 2007; Knudson, 1993). Increasing the angle of entry of the ball to the basket increases the width of the basket, as demonstrated in Figure 3 and 4. For this reason, a 90° angle of release into the basket would provide the greatest opportunity to score a goal (Figure 3). However, this angle is would only be achievable through a slam dunk.


Also, the optimal angle of release increases with the players distance from the ring to a value closer to 55° to increase the arc and flight time before gravity can act on the projectile (Miller & Bartlett, 1992). This is similar to NBA player Stephen Curry’s shooting angle of 50-55° at the three point line, as shown in video 1 (ESPN Sport Science, 2013). This higher trajectory helps Curry shoot over taller defenders and creates a larger target at the ring, increasing the available area for the ball to pass through by 19% (Figure 2) (ESPN Sport Science, 2013). One theoretical way to calculate the optimal angle of release is through Peter Brancazio’s (1981) equation of “release angle = 45° + ½ angle of incline to the basket” as shown in Figure 5 (ESPN Sport Science, 2015).


Video 1 
(ESPN Sports Science, 2013)

 Figure 2 
(Fear of Physics, n.d.)


Figure 3 
(Fontanella, 2008)


Figure 4 
(ESPN Sport Science, 2013)


Figure 5 
(Brancazio, 1981)


The angle of the shoulders, elbows and wrists at ball release are important when executing the optimal angle of release of the basketball. The angle of the shoulder from the horizontal should be about 51°, 180° between the hand and forearm and the angle of the forearm from the horizontal should be about 80° at release (Okubo & Hubbard, 2015). At full extension of the upper limb, the arm should release the ball between a 49 and 55°trajectory for optimal performance. The player’s trunk should not lean forward or backward as this will change the angle of release with a lower height of release and unbalanced momentum. Overall, these angles are variable and are affected by the projectile’s speed and height of release, the player’s height and the amount of force exerted by the player.

Why should speed be manipulated in a jump shot?


The range of a projectile or basketball is mainly influenced by projection speed. The faster a projectile is released, the further it will travel. Therefore, when a jump shot is performed from close proximity to the ring, even less speed should be exerted onto the ball. Also, release speed increases as distance from the basket increases, regardless of release angle (Miller & Bartlett, 1992). One study found the optimal release speeds for short, medium and long range shots. They found 4.58m/s for short range, 6.62m/s for medium and 9.04m/s for long are approximate optimal ranges of speeds players should aim for (Okubo & Hubbard, 2015). This study demonstrates the extra speed required as the player moves further from the ring. Stephen Curry releases the ball approximately 16% faster at nine metres from the basket (35.9 km/hr) compared to at the arc (31.68 km/hr) (Figure 6) (ESPN Sport Science, 2015). 

Also, greater release speed should be exerted by players who cannot produce sufficient forces or cannot achieve a high release height due to their short stature. Releasing the ball quickly also prevents defenders from having time to set up and block the shot.

Stephen Curry has one of the fastest ball releases of anyone in the NBA and releases the ball at 0.4 seconds, compared to 0.54 seconds of the average NBA player. By the time the average NBA player has released the ball, Curry’s shot has already travelled 3.6 metres (video 1) (ESPN Sport Science, 2013). This velocity is due to his wrist flexion of 3,000°/second (ESPN Sport Science, 2015).



When a ball is launched with a greater speed, it is in contact with the hand for a shorter period of time. A shorter time in the hand results in greater angular acceleration and rotational speed (Fontanella, 2006). Therefore, to increase speed of a jump shot, players should increase the angular velocity of their elbow as it moves through flexion to extension with a quicker ‘snap’ of the elbow and activation of the extensor muscles (Okubo & Hubbard, 2015). Players can also create a rotation of the ball, which has been found to maintain ball velocity during flight (Knudson, 1993). However, players should be careful to not trade off speed for accuracy or their optimal angle of release to achieve a successful jump shot. As speed is key, especially when playing a game with defenders trying to steal the ball. 

Figure 6 
 (ESPN Sport Science, 2015).

Why is the impulse of the jump shot low?


Momentum can also be adjusted by exerting a force over a longer period of time. This is known as impulse, the product of force acting on a body and the time which force is exerted on the body or object (Knudson, 2007). The greater the impulse is, the greater the change in momentum and is known as the impulse-momentum relationship. This is not applicable to the jump shot as the player should be aiming to jump as quickly as possible, with as much force as possible whilst moving through the kinetic chain quickly to release the ball with high velocity. If the player was to exert force over a long period, a defender has a greater chance of blocking the shot. Therefore, the impulse is low and there is a weak impulse-momentum relationship.



What is the importance of height of ball release in the jump shot?

The relative height of projection is also integral to a successful jump shot. It is the vertical distance between the point of projection of an object and the point where it lands (Fontanella, 2008). In the basketball jump shot scenario, the ring is higher than the point of release. Therefore, the projection point is lower than the ring and the relative height is negative. The optimal angle of release increases as the relative height becomes more negative. By projecting the ball from a level below where it will land (in this case, to pass through the ring), the player needs to increase the vertical velocity and angle of release to greater than 45° to give the ball extra flight time.

This information is useful to shorter players who should increase their angle of release to be equal to taller players who already possess a higher relative height of projection and should also attempt to jump higher. The jump is an important part of increasing the relative height of release, regardless of the player’s height as the ball can then be released at a location closer to the height of the basket. The knees should be flexed near 90° to increase the potential energy of the jump shot and force production of the jump. As aforementioned, the equal and opposite reaction of the jump and the ground increases the vertical height of the jump shot and the relative height of release. A successful jump shot with a high vertical jump also prevents interference from a defender.

Therefore, a player should flex their knees and then quickly extend the knees to increase force production of the legs and force directed toward the ground. This extra flexion will assist the body to overcome inertia to increase the height of the jump and decrease the angle and speed required to successfully shoot a goal in a jump shot. However, a player cannot change their height and should instead work on increasing their angle of release and jump height. 


How can momentum be manipulated for the optimal jump shot?


Momentum is a product of mass and velocity, seen as momentum = mass x velocity (Knudson, 2007). The player as a whole has more momentum than the ball as it has a higher mass, requiring greater force to change its state of momentum. Momentum can carry the player upwards as they move through the jump. The basketball has angular momentum as it moves through an arc toward the ring with rotation. Also, the arms and legs possess angular momentum as they move through an angle of movement (Blazevich, 2013).


To address momentum in the arms in a jump shot, players can accelerate the proximal parts of the arm (shoulder) and then stop them. This produces a transfer of momentum along the arm resulting in high velocity at the end point of the hand. This momentum and velocity can then be applied to the ball for the jump shot.


By catching the ball and stepping forward into a stable base of support with feet facing the ring and centre of mass evenly distributed, momentum is already being carried forward to be imparted onto the ball. To change the momentum of the body in an upwards direction force must be applied to the body. Newton’s Third Law of equal and opposite reaction results in a change of momentum in the jump through a downward force to the ground. Also, the player can apply more momentum to the ball by releasing it with greater velocity.


Lastly, to increase hang time for the jump shot, players can bring their legs up under their body after they leave the ground in the jump, then rapidly extend their legs downwards. This conserves momentum and moves the body further vertically. Stephen Curry releases the ball as he is rising at 0.6 seconds before the apex of his jump, resulting in his upward momentum transferring to the ball, a technique which amateur players can also use (ESPN Sport Science, 2013).

How does Newton’s First Law and external factors impact a jump shot?

Newton’s First Law of Motion, also known as the Law of Inertia, states that an object will remain at rest or continue to move with constant velocity as long as the net force equals zero (Blazevich, 2013). When considering the basketball jump shot, it could be assumed that once the ball leaves the shooters hands there are no factors to obstruct the path of the ball, however this is not so (Benjamin, 2014). Gravity applies an action to the ball which essentially pulls it down to earth therefore the shooter must acknowledge and judge the force of gravity acting upon the weight of the ball and determine the most appropriate line of trajectory (Benjamin, 2014). Air resistance also comes into play during the basketball jump shot in the form of a drag like movement (Benjamin, 2014). This is most evident in outdoor playing environments. Therefore when taking a basketball jump shot, players must consider gravity and air resistance when determining the line of trajectory of their shot.

Effects of force, mass and acceleration on the success of a jump shot.

Newton’s Second Law of Motion states that the acceleration of an object is proportional to the net force acting on it and inversely proportional to the mass of the object (Blazevich, 2013). When cross referencing this law with the biomechanics of the basketball jump shot, initial force is generated through the push like movement of the kinetic chain during the contraction of the muscles and bending of the ankles, knees and elbows of the kinetic chain during the jump. This force production then travels upwards through the body in sequence to exert acceleration onto the ball to reach the ring. The amount of force exerted through the push like movement will be proportional to the acceleration of the ball. Acceleration can also overcome the inertia of the ball in motion. However, a basketball has low inertia due to its low mass and requires low force to change its state of motion (Blazevich, 2013). Therefore, it is important to exert an appropriate amount of force in relation to the player’s distance from the ring and time constraints in order to overcome the inertia of the object to attain optimal acceleration to the ring. This showcases aspects of Newton’s First Law of Motion. Regarding Newton’s second law of motion, the greater the mass of the object being accelerated (in this case the basketball), the more force is required to accelerate the object (Benjamin, 2014). In equation form this can be demonstrated as Force= mass x acceleration. As a basketball has a mass, this law is evident whenever a player either passes or shoots the ball and they must apply the appropriate force. When either too much or too little force is applied during the jump shot, the ball will not travel where it was intended to go (Benjamin, 2014). Therefore, when taking a jump shot players must consider how much force to apply to the ball in relation to its mass.

How are equal and opposite reactions incorporated into the jump shot? What do they produce?

Newton’s Third Law of motion states that for every action there is an equal and opposite reaction (Blazevich, 2013). With regards to the basketball jump shot, this law can be most obviously applied during the actual jump stage of the total sequence where the body applies a force to the ground and the ground pushes back an equal, opposite reaction forcing the player to propel in an upwards direction. This ultimately reduces the required projectile angle to successfully complete a jump shot. The vertical jump motion showcases Newton’s Third Law regarding equal and opposite reactions. The equal and opposite reactions themselves occur when the player jumps to reach their optimal height before actually taking the shot and releasing the ball in the direction of the basket. It is the ground reaction force that enables the foot to propel and stay above the ground and without this the foot would remain in contact with the ground (Blazevich, 2013). Through this process the upwards reaction force produced by the group is directed through the bodies centre of mass (Blazevich, 2013). Equal and opposite reactions are also evident in the body limbs during a jump shot. When the shot is taken the arms move in a forwards direction which correspondingly creates a flexing motion in the legs pushing them in a backwards motion ready to propel the body in the vertical jump (Knudson, 1993). Therefore, players must ensure they apply an appropriate force to the ground during the vertical jump to ensure the ground reaction force produces and equal, yet opposite reaction consequently propelling the player upwards.

How does acceleration affect the jump shot?

Acceleration refers to the increase in the speed or velocity of an object and is a key concept in basketball. When the initial shot is taken the object being the ball is moving with great speed as it has an applied force, however as the ball progresses through the air it slows due to loss of momentum and the deceleration caused by gravity. During the jump shot, acceleration is evident at the elbow, wrist and fingers. As of result of the acceleration generated at these sites, momentum is also generated through the muscle forces acting on the object. It is the acceleration generated that creates the momentum for the ball to travel through the air and reach the basket (Better Basketball, 2014). Therefore, players must consider the appropriate force needed to be applied to produce and maintain sufficient momentum to ensure the ball reaches the basket (Okazaki, Rodacki, & Satern, 2015).

Why is the ‘fade away’ jump shot not advisable?


Momentum also explains why a fade away jump shot is a poor technique. The player will have unbalanced momentum and will miss shoot with an incorrect angle and lower height of release. The player is moving with horizontal velocity with decreased vertical height of release. Also, the momentum created by the jump will be directed in a backwards direction, causing the player to transfer less momentum to a high, vertical jump. The player would also need to shoot with greater force or velocity to make up for the loss of momentum.


What would happen if the player moved through the movements of the jump shot and paused before shooting?


The Law of Conservation of Momentum is also related to the jump shot, which states, “The total (angular) momentum of a system remains constant unless external forces influence the system” (Blazevich, 2013, p. 91). A player should try to fluently move through the motions of the jump shot. There should be no break in the movements between the legs, torso and arms to conserve the momentum being produced through the jump and limb movement. If a player paused in the chain of movements for the jump shot, force and momentum would not be conserved, resulting in incorrect angle of release or a jump which does not reach maximum height.


 Jump Justification

Second Law of Motion states that the acceleration of an object is proportional to the net force acting on it and inversely proportional to the mass of the object. When cross referencing this law with the biomechanics of the basketball jump shot, initial force is generated through the push like movement of the kinetic chain during the contraction of the muscles and bending of the ankles, knees and elbows of the kinetic chain during the jump. This force production then travels upwards through the body in sequence to exert acceleration onto the ball to reach the ring. The amount of force exerted through the push like movement will be proportional to the acceleration of the ball. Acceleration can also overcome the inertia of the ball in motion. However, a basketball has low inertia due to its low mass and requires low force to change its state of motion. Therefore, it is important to exert an appropriate amount of force in relation to the player’s distance from the ring and time constraints in order to overcome the inertia of the object to attain optimal acceleration to the ring This showcases aspects of Newton’s First Law of Motion. Additionally, Newton’s Third Law of motion states that for every action there is an equal and opposite reaction. With regards to the basketball jump shot, this law can be most obviously applied during the actual jump stage of the total sequence where the body applies a force to the ground and the ground pushes back an equal, opposite reaction forcing the player to propel in an upwards direction. This ultimately reduce the required projectile angle to successful complete a jump shot.

What is the importance of kinetic energy in regards to the jump technique?


The optimal technique associated with the basketball jump shot requires a high amount of kinetic energy to be generated in the shortest amount of time. This is made possible through generating the majority of the power from ones legs to get into the air, yet, this should be generated through a shallow bend of the knees as a deep bend would generate a slow release. This would also minimise the chance of the individual being blocked by an opponent as the jump increases the successfulness of the shot. Relatively, the rest of the power should be generated from the upper half of the body and arms in relation with the accuracy needed. Through the use of this technique it will generate a fast shot whilst also generating a great amount of potential kinetic energy.  As the potential energy generated here increases, the overall energy generated within the kinetic chain subsequently increases the force production passed onto the ball. The equal and opposite reaction is also seen to play a major role in the jump of the jump shot. As if you apply enough force into the ground in a shallow jump it will propel the individual into the air, leaving what may seem like an abundance of time to execute the second half of the shot using the upper body.  Therefore, one must ensure to adopt a shallow jump, which provides a substantial amount of force to generate a high jump, to create the illusion that the individual has all the time in the world to execute the shot.  

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