Jumping

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A roe deer exhibiting jumping locomotion, Wadden Sea National Parks Rehbock auf der Ostplate Spiekeroog - Nationalpark niedersachsisches Wattenmeer.jpg
A roe deer exhibiting jumping locomotion, Wadden Sea National Parks

Jumping or leaping is a form of locomotion or movement in which an organism or non-living (e.g., robotic) mechanical system propels itself through the air along a ballistic trajectory. Jumping can be distinguished from running, galloping and other gaits where the entire body is temporarily airborne, by the relatively long duration of the aerial phase and high angle of initial launch.

Contents

Some animals, such as the kangaroo, employ jumping (commonly called hopping in this instance) as their primary form of locomotion, while others, such as frogs, use it only as a means to escape predators. Jumping is also a key feature of various activities and sports, including the long jump, high jump and show jumping.

Physics

Jumping bottlenose dolphin Tursiops truncatus 01.jpg
Jumping bottlenose dolphin
Jumping sea trout

All jumping involves the application of force against a substrate, which in turn generates a reactive force that propels the jumper away from the substrate. Any solid or liquid capable of producing an opposing force can serve as a substrate, including ground or water. Examples of the latter include dolphins performing traveling jumps, and Indian skitter frogs executing standing jumps from water.

Jumping organisms are rarely subject to significant aerodynamic forces and, as a result, their jumps are governed by the basic physical laws of ballistic trajectories. Consequently, while a bird may jump into the air to initiate flight, no movement it performs once airborne is considered jumping, as the initial jump conditions no longer dictate its flight path.

Following the moment of launch (i.e., initial loss of contact with the substrate), a jumper will traverse a parabolic path. The launch angle and initial launch velocity determine the travel distance, duration, and height of the jump. The maximum possible horizontal travel distance for a projectile occurs at a launch angle of 45°, but any launch angle between 35° and 55° will result in ninety percent of the maximum possible distance. However, the jump angle for humans which maximizes horizontal distance travelled is lower at ~23-26° (see section Standing long jump mechanics below).

A split leap executed by an acro dancer. This is one of several types of leaps found in dance. SplitLeap.gif
A split leap executed by an acro dancer. This is one of several types of leaps found in dance.
A dog jumping from a stationary position Jumping dog.JPG
A dog jumping from a stationary position

Muscles (or other actuators in non-living systems) do physical work, adding kinetic energy to the jumper's body over the course of a jump's propulsive phase. This results in a kinetic energy at launch that is proportional to the square of the jumper's speed. The more work the muscles do, the greater the launch velocity and thus the greater the acceleration and the shorter the time interval of the jump's propulsive phase.

Mechanical power (work per unit time) and the distance over which that power is applied (e.g., leg length) are the key determinants of jump distance and height. As a result, many jumping animals have long legs and muscles that are optimized for maximal power according to the force-velocity relationship of muscles. The maximum power output of muscles is limited, however. To circumvent this limitation, many jumping species slowly pre-stretch elastic elements, such as tendons or apodemes, to store work as strain energy. Such elastic elements can release energy at a much higher rate (higher power) than equivalent muscle mass, thus increasing launch energy to levels beyond what muscle alone is capable of.

A jumper may be either stationary or moving when initiating a jump. In a jump from stationary (i.e., a standing jump), all of the work required to accelerate the body through launch is done in a single movement. In a moving jump or running jump, the jumper introduces additional vertical velocity at launch while conserving as much horizontal momentum as possible. Unlike stationary jumps, in which the jumper's kinetic energy at launch is solely due to the jump movement, moving jumps have a higher energy that results from the inclusion of the horizontal velocity preceding the jump. Consequently, jumpers are able to jump greater distances when starting from a run.

Anatomy

A bullfrog skeleton, showing elongate limb bones and extra joints. Red marks indicate bones substantially elongated in frogs, and joints that have become mobile. Blue indicates joints and bones that have not been modified, or are only somewhat elongated. Frog limbs.jpg
A bullfrog skeleton, showing elongate limb bones and extra joints. Red marks indicate bones substantially elongated in frogs, and joints that have become mobile. Blue indicates joints and bones that have not been modified, or are only somewhat elongated.

Animals use a wide variety of anatomical adaptations for jumping. These adaptations are exclusively concerned with the launch, as any post-launch method of extending range or controlling the jump must use aerodynamic forces, and thus is considered gliding or parachuting.

Aquatic species rarely display any particular specializations for jumping. Those that are good jumpers usually are primarily adapted for speed, and execute moving jumps by simply swimming to the surface at a high velocity. A few primarily aquatic species that can jump while on land, such as mud skippers, do so via a flick of the tail.

Limb morphology

In terrestrial animals, the primary propulsive structure is the legs, though a few species use their tails. Typical characteristics of jumping species include long legs, large leg muscles, and additional limb elements.

Long legs increase the time and distance over which a jumping animal can push against the substrate, thus allowing more power and faster, farther jumps. Large leg muscles can generate greater force, resulting in improved jumping performance. In addition to elongated leg elements, many jumping animals have modified foot and ankle bones that are elongated and possess additional joints, effectively adding more segments to the limb and even more length.

Frogs are an excellent example of all three trends: frog legs can be nearly twice the body length, leg muscles may account for up to twenty percent of body weight, and they have not only lengthened the foot, shin and thigh, but extended the ankle bones into another limb joint and similarly extended the hip bones and gained mobility at the sacrum for a second 'extra joint'. As a result, frogs are the undisputed champion jumpers of vertebrates, leaping over fifty body lengths, a distance of more than eight feet. [1]

Power amplification through stored energy

Grasshoppers use elastic energy storage to increase jumping distance. Although power output is a principal determinant of jump distance (as noted above), physiological constraints limit muscle power to approximately 375 Watts per kilogram of muscle. [2] To overcome this limitation, grasshoppers anchor their legs via an internal "catch mechanism" while their muscles stretch an elastic apodeme (similar to a vertebrate tendon). When the catch is released, the apodeme rapidly releases its energy. Because the apodeme releases energy more quickly than muscle, its power output exceeds that of the muscle that produced the energy.

Two motorbikes jump a car at a country fair, England Morcycle jumping at a country fair (England) arp.jpg
Two motorbikes jump a car at a country fair, England

This is analogous to a human throwing an arrow by hand versus using a bow; the use of elastic storage (the bow) allows the muscles to operate closer to isometric on the force-velocity curve. This enables the muscles to do work over a longer time and thus produce more energy than they otherwise could, while the elastic element releases that work faster than the muscles can. The use of elastic energy storage has been found in jumping mammals as well as in frogs, with commensurate increases in power ranging from two to seven times that of equivalent muscle mass. [3]

Classification

One way to classify jumping is by the manner of foot transfer. [4] In this classification system, five basic jump forms are distinguished:

Leaping gaits, which are distinct from running gaits (see Locomotion), include cantering, galloping, and stotting or pronging. [5] Some sources also distinguish bounding as a cyclical motion of repeated jumps, used to maintain energy from one jump to the next. [6]

Standing long jump mechanics

The optimal take off angle for a standing long jump (performed by a human) has been theoretically calculated to be ~22.6°, [7] substantially lower than the optimal take off angle for a projectile (i.e. 45°). [8] This is due to take-off speed decreasing with take-off angle due to the jumper's body configuration. [7] It has been shown that experienced parkour athletes use a take off angle of ~25.6°, whereas beginner traceurs use an angle of ~ 34°. [9] Experienced athletes also swing their arms to a greater extent and rock backwards before taking off. These factors help parkour athletes to carry out longer standing long jumps than beginners. [9]

The (official) male standing long jump world record is 371 cm, and the female record is 292 cm (both as of June 2023). These were achieved by Arne Tvervaag and Annelin Mannes respectively. [10] Standing long jump distances range between 146.2 cm and 219.8 cm (10th to 90th percentile) for 18 year old men, and between 100 cm and 157 cm for 18 year old women. [11]

Height-enhancing devices and techniques

Person jumping on a trampoline Hometrampoline.jpg
Person jumping on a trampoline

The height of a jump may be increased by using a trampoline or by converting horizontal velocity into vertical velocity with the aid of a device such as a half pipe.

Various exercises can be used to increase an athlete's vertical jumping height. One category of such exercises—plyometrics—employs repetition of discrete jumping-related movements to increase speed, agility, and power.

It has been shown in research that children who are more physically active display more proficient jumping (along with other basic motor skill) patterns. [12]

It is also noted that jumping development in children has a direct relationship with age. As children grow older, it is seen that their jumping abilities in all forms also increase. Jumping development is more easily identifiable in children rather than adults due to the fact that there are less physical differences at a younger age. Adults of the same age may be vastly different in terms of physicality and athleticism making it difficult to see how age affects jumping ability. [13]

In 2021, researchers incorporated ratchets into a robot design and created a robot capable of jumping over thirty meters vertically. [14]

See also

Related Research Articles

<span class="mw-page-title-main">Long jump</span> Track and field event

The long jump is a track and field event in which athletes combine speed, strength and agility in an attempt to leap as far as possible from a takeoff point. Along with the triple jump, the two events that measure jumping for distance as a group are referred to as the "horizontal jumps". This event has a history in the ancient Olympic Games and has been a modern Olympic event for men since the first Olympics in 1896 and for women since 1948.

<span class="mw-page-title-main">Animal locomotion</span> Self-propulsion by an animal

Animal locomotion, in ethology, is any of a variety of methods that animals use to move from one place to another. Some modes of locomotion are (initially) self-propelled, e.g., running, swimming, jumping, flying, hopping, soaring and gliding. There are also many animal species that depend on their environment for transportation, a type of mobility called passive locomotion, e.g., sailing, kiting (spiders), rolling or riding other animals (phoresis).

Robot locomotion is the collective name for the various methods that robots use to transport themselves from place to place.

<span class="mw-page-title-main">Plyometrics</span> Maximum-intensity explosive exercises

Plyometrics, also known as jump training or plyos, are exercises in which muscles exert maximum force in short intervals of time, with the goal of increasing power (speed-strength). This training focuses on learning to move from a muscle extension to a contraction in a rapid or "explosive" manner, such as in specialized repeated jumping. Plyometrics are primarily used by athletes, especially martial artists, sprinters and high jumpers, to improve performance, and are used in the fitness field to a much lesser degree.

<span class="mw-page-title-main">Allometry</span> Study of the relationship of body size to shape, anatomy, physiology, and behavior

Allometry is the study of the relationship of body size to shape, anatomy, physiology and behaviour, first outlined by Otto Snell in 1892, by D'Arcy Thompson in 1917 in On Growth and Form and by Julian Huxley in 1932.

<span class="mw-page-title-main">Equine conformation</span> Evaluation of a horses bone and muscle structure

Equine conformation evaluates a horse's bone structure, musculature, and its body proportions in relation to each other. Undesirable conformation can limit the ability to perform a specific task. Although there are several faults with universal disadvantages, a horse's conformation is usually judged by what its intended use may be. Thus "form to function" is one of the first set of traits considered in judging conformation. A horse with poor form for a Grand Prix show jumper could have excellent conformation for a World Champion cutting horse, or to be a champion draft horse. Every horse has good and bad points of its conformation and many horses excel even with conformation faults.

<span class="mw-page-title-main">Finning techniques</span> Techniques used by divers and surface swimmers using swimfins

Finning techniques are the skills and methods used by swimmers and underwater divers to propel themselves through the water and to maneuver when wearing swimfins. There are several styles used for propulsion, some of which are more suited to particular swimfin configurations. There are also techniques for positional maneuvering, such as rotation on the spot, which may not involve significant locational change. Use of the most appropriate finning style for the circumstances can increase propulsive efficiency, reduce fatigue, improve precision of maneuvering and control of the diver's position in the water, and thereby increase the task effectiveness of the diver and reduce the impact on the environment. Propulsion through water requires much more work than through air due to higher density and viscosity. Diving equipment which is bulky usually increases drag, and reduction of drag can significantly reduce the effort of finning. This can be done to some extent by streamlining diving equipment, and by swimming along the axis of least drag, which requires correct diver trim. Efficient production of thrust also reduces the effort required, but there are also situations where efficiency must be traded off against practical necessity related to the environment or task in hand, such as the ability to maneuver effectively and resistance to damage of the equipment.

<span class="mw-page-title-main">Cursorial</span> Organism adapted specifically to run

A cursorial organism is one that is adapted specifically to run. An animal can be considered cursorial if it has the ability to run fast or if it can keep a constant speed for a long distance. "Cursorial" is often used to categorize a certain locomotor mode, which is helpful for biologists who examine behaviors of different animals and the way they move in their environment. Cursorial adaptations can be identified by morphological characteristics, physiological characteristics, maximum speed, and how often running is used in life. There is much debate over how to define a cursorial animal specifically. The most accepted definitions include that a cursorial organism could be considered adapted to long-distance running at high speeds or has the ability to accelerate quickly over short distances. Among vertebrates, animals under 1 kg of mass are rarely considered cursorial, and cursorial behaviors and morphology are thought to only occur at relatively large body masses in mammals. There are a few mammals that have been termed "micro-cursors" that are less than 1 kg in mass and have the ability to run faster than other small animals of similar sizes.

<span class="mw-page-title-main">Flying and gliding animals</span> Animals that have evolved aerial locomotion

A number of animals are capable of aerial locomotion, either by powered flight or by gliding. This trait has appeared by evolution many times, without any single common ancestor. Flight has evolved at least four times in separate animals: insects, pterosaurs, birds, and bats. Gliding has evolved on many more occasions. Usually the development is to aid canopy animals in getting from tree to tree, although there are other possibilities. Gliding, in particular, has evolved among rainforest animals, especially in the rainforests in Asia where the trees are tall and widely spaced. Several species of aquatic animals, and a few amphibians and reptiles have also evolved this gliding flight ability, typically as a means of evading predators.

<span class="mw-page-title-main">Terrestrial locomotion</span> Ability of animals to travel on land

Terrestrial locomotion has evolved as animals adapted from aquatic to terrestrial environments. Locomotion on land raises different problems than that in water, with reduced friction being replaced by the increased effects of gravity.

<span class="mw-page-title-main">Vertical jump</span> Jump vertically in the air

A vertical jump or vertical leap is the act of jumping upwards into the air. It can be an exercise for building both endurance and strength, and is also a standard test for measuring athletic performance. It may also be referred to as a Sargent jump, named for Dudley Allen Sargent.

<span class="mw-page-title-main">Origin of avian flight</span> Evolution of birds from non-flying ancestors

Around 350 BCE, Aristotle and other philosophers of the time attempted to explain the aerodynamics of avian flight. Even after the discovery of the ancestral bird Archaeopteryx which lived over 150 million years ago, debates still persist regarding the evolution of flight. There are three leading hypotheses pertaining to avian flight: Pouncing Proavis model, Cursorial model, and Arboreal model.

<span class="mw-page-title-main">Arboreal locomotion</span> Movement of animals through trees

Arboreal locomotion is the locomotion of animals in trees. In habitats in which trees are present, animals have evolved to move in them. Some animals may scale trees only occasionally, but others are exclusively arboreal. The habitats pose numerous mechanical challenges to animals moving through them and lead to a variety of anatomical, behavioral and ecological consequences as well as variations throughout different species. Furthermore, many of these same principles may be applied to climbing without trees, such as on rock piles or mountains.

<span class="mw-page-title-main">Aquatic locomotion</span>

Aquatic locomotion or swimming is biologically propelled motion through a liquid medium. The simplest propulsive systems are composed of cilia and flagella. Swimming has evolved a number of times in a range of organisms including arthropods, fish, molluscs, amphibians, reptiles, birds, and mammals.

<span class="mw-page-title-main">Undulatory locomotion</span>

Undulatory locomotion is the type of motion characterized by wave-like movement patterns that act to propel an animal forward. Examples of this type of gait include crawling in snakes, or swimming in the lamprey. Although this is typically the type of gait utilized by limbless animals, some creatures with limbs, such as the salamander, forgo use of their legs in certain environments and exhibit undulatory locomotion. In robotics this movement strategy is studied in order to create novel robotic devices capable of traversing a variety of environments.

Vertical clinging and leaping (VCL) is a type of arboreal locomotion seen most commonly among the strepsirrhine primates and haplorrhine tarsiers. The animal begins at rest with its torso upright and elbows fixed, with both hands clinging to a vertical support, such as the side of a tree or bamboo stalk. To move from one support to another, it pushes off from one vertical support with its hindlimbs, landing on another vertical support after an extended period of free flight. Vertical clinging and leaping primates have evolved a specialized anatomy to compensate for the physical implications of this form of locomotion. These key morphological specializations have been identified in prosimian fossils from as early as the Eocene.

Ballistic movement can be defined as muscle contractions that exhibit maximum velocities and accelerations over a very short period of time. They exhibit high firing rates, high force production, and very brief contraction times.

Terrestrial locomotion by means of a running gait can be accomplished on level surfaces. However, in most outdoor environments an individual will experience terrain undulations requiring uphill running. Similar conditions can be mimicked in a controlled environment on a treadmill also. Additionally, running on inclines is used by runners, both distance and sprinter, to improve cardiovascular conditioning and lower limb strength.

<span class="mw-page-title-main">Limitations of animal running speed</span> Factors determining maximum running speed in animals

Limitations of animal running speed provides an overview of how various factors determine the maximum running speed. Some terrestrial animals are built for achieving extremely high speeds, such as the cheetah, pronghorn, race horse and greyhound, while humans can train to achieve high sprint speeds. There is no single determinant of maximum running speed: however, certain factors stand out against others and have been investigated in both animals and humans. These factors include: Muscle moment arms, foot morphology, muscle architecture, and muscle fiber type. Each factor contributes to the ground reaction force (GRF) and foot contact time of which the changes to increase maximal speed are not well understood across all species.

Elastic mechanisms in animals are very important in the movement of vertebrate animals. The muscles that control vertebrate locomotion are affiliated with tissues that are springy, such as tendons, which lie within the muscles and connective tissue. A spring can be a mechanism for different actions involved in hopping, running, walking, and serve in other diverse functions such as metabolic energy conservation, attenuation of muscle power production, and amplification of muscle power production.

References

  1. Zug, G. R. (1978). "Anuran Locomotion: Structure and Function. II. Jumping performance of semiacquatic, terrestrial, and arboreal frogs". Smithsonian Contributions to Zoology (276): iii–31.
  2. Marsh, R. L. (1994). "Jumping ability of anuran amphibians". Advances in Veterinary Science and Comparative Medicine. 38B (38): 51–111. PMID   7810380.
  3. Peplowski, M. M.; Marsh, R. L. (1997). "Work and power output in the hindlimb muscles of cuban tree frogs Osteopilus septentrionalis during jumping". J. Exp. Biol. 200 (22): 2861–70. doi: 10.1242/jeb.200.22.2861 . PMID   9344973.
  4. Study Guide for Elementary Labanotation by Peggy Hackney, Sarah Manno (Editor), Muriel Topaz (Editor)
  5. Tristan David Martin Roberts (1995) Understanding Balance: The Mechanics of Posture and Locomotion, Nelson Thornes, ISBN   0-412-60160-5.
  6. Reilly, Stephen M.; Montuelle, Stephane J.; Schmidt, Andre; Naylor, Emily; Jorgensen, Michael E.; Halsey, Lewis G.; Essner, Richard L. (28 March 2015). "Conquering the world in leaps and bounds: hopping locomotion in toads is actually bounding". Functional Ecology. 29 (10): 1308–1316. doi: 10.1111/1365-2435.12414 . ISSN   0269-8463.
  7. 1 2 Wakai, Masaki; Linthorne, Nicholas P. (February 2005). "Optimum take-off angle in the standing long jump". Human Movement Science. 24 (1): 81–96. CiteSeerX   10.1.1.426.3112 . doi:10.1016/j.humov.2004.12.001. ISSN   0167-9457. PMID   15949583.
  8. "How Should You Launch a Ball to Achieve the Greatest Distance?". Scientific American. 9 November 2010. Archived from the original on 18 June 2023. Retrieved 18 June 2023.
  9. 1 2 Grosprêtre, Sidney; Ufland, Pierre; Jecker, Daniel (2018). "The adaptation to standing long jump distance in parkour is performed by the modulation of specific variables prior and during take-off". Movement & Sport Sciences - Science & Motricité (100): 27–37. doi: 10.1051/sm/2017022 . ISSN   2118-5735.
  10. "Standing long jumps (Ath)". Guinness World Records. Archived from the original on 18 June 2023. Retrieved 18 June 2023.
  11. Thomas, Ewan; Petrigna, Luca; Tabacchi, Garden; Teixeira, Eduardo; Pajaujiene, Simona; Sturm, David J.; Sahin, Fatma Nese; Gómez-López, Manuel; Pausic, Jelena; Paoli, Antonio; Alesi, Marianna; Bianco, Antonino (17 June 2020). "Percentile values of the standing broad jump in children and adolescents aged 6-18 years old". European Journal of Translational Myology. 30 (2): 9050. doi:10.4081/ejtm.2019.9050 (inactive 31 January 2024). ISSN   2037-7452. PMC   7385687 . PMID   32782766.{{cite journal}}: CS1 maint: DOI inactive as of January 2024 (link)
  12. Raudsepp, Lennart; Päll, Peep (November 2006). "The Relationship between Fundamental Motor Skills and Outside-School Physical Activity of Elementary School Children". Pediatric Exercise Science. 18 (4): 426–35. doi:10.1123/pes.18.4.426.
  13. Utesch, T.; Dreiskämper, D.; Strauss, B.; Naul, R. (1 January 2018). "The development of the physical fitness construct across childhood". Scandinavian Journal of Medicine & Science in Sports. 28 (1): 212–19. doi:10.1111/sms.12889. ISSN   1600-0838. PMID   28376240. S2CID   5276116.
  14. "Record-Breaking Robot Highlights How Animals Excel at Jumping". Quanta Magazine. 2022. Retrieved 15 September 2022.