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Biomechanics and Medicine in Swimming XI

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<strong>Biomechanics</strong><strong>and</strong>medic<strong>in</strong>e<strong>in</strong>swimm<strong>in</strong>gXi<br />

Methods<br />

Twenty-one young female water polo players participated to the study.<br />

They were divided <strong>in</strong>to two groups: G-12: 11 players, their average age,<br />

stature <strong>and</strong> body mass were, respectively: 11.9 ± 1.4 years; 1.59 ± 0.07 m;<br />

48.4 ± 5.3 kg; <strong>and</strong> G-16: 10 players, their average age, stature <strong>and</strong> body<br />

mass were, respectively: 16.5 ± 1.3 years; 1.64 ± 0.04 m; 65.2 ± 9.5 kg.<br />

The G-12 players had a practice of water polo of 3.3 ± 0.5 years whereas<br />

the G-16 players of 4.8 ± 0.6 years. The subjects were <strong>in</strong>formed about<br />

the methods <strong>and</strong> aims of the study <strong>and</strong> gave their written <strong>in</strong>formed consent<br />

to participate; parental consent was obta<strong>in</strong>ed for under age subjects.<br />

The experiments were performed <strong>in</strong> an <strong>in</strong>door 25 m swimm<strong>in</strong>g pool.<br />

The subjects were requested to swim at constant speed <strong>and</strong> stroke rate<br />

start<strong>in</strong>g, without div<strong>in</strong>g, from the pool wall. The experiments were repeated<br />

at 4 speeds (self selected by the swimmers as slow, moderate, fast<br />

<strong>and</strong> maximal) <strong>and</strong> with the two styles (HOS: head out swimm<strong>in</strong>g <strong>and</strong><br />

FCS: front crawl swimm<strong>in</strong>g) <strong>in</strong> two separate days.<br />

In the central 10 m of the pool the average speed (V, m . s -1 ), the<br />

stroke frequency (SF, Hz) <strong>and</strong> the kick frequency (KF, Hz) were measured<br />

by means of a stopwatch. The stroke length (SL, m) was then calculated<br />

as V/ SF.<br />

The arm stroke efficiency was calculated accord<strong>in</strong>g to the simple<br />

model proposed by Zamparo et al. (2005). The model is based on the assumption<br />

that the arm is a rigid segment of length l, rotat<strong>in</strong>g at constant<br />

angular speed about the shoulder <strong>and</strong> yields the average efficiency for<br />

the underwater phase only, as follows:<br />

188<br />

η p = ((V . 0.9) / (2π . SF . l)) . (2 / π) (2)<br />

where V is the average speed of the swimmer, SF is the stroke frequency<br />

<strong>and</strong> l is the average shoulder to h<strong>and</strong> distance. In turn, l can be calculated<br />

trigonometrically by measur<strong>in</strong>g the upper limb length (0.49 ± 0.02 m<br />

<strong>in</strong> G-12 <strong>and</strong> 0.50 ± 0.02 m <strong>in</strong> G-16) <strong>and</strong> the average elbow angle (EA)<br />

dur<strong>in</strong>g the <strong>in</strong>-sweep of the arm pull. In this study, EA was not directly<br />

measured but calculated on the basis of the subject’s age based on data<br />

published by Zamparo (2006). F<strong>in</strong>ally, <strong>in</strong> equation 7, the speed was multiplied<br />

by 0.9 to take <strong>in</strong>to account that, <strong>in</strong> the front crawl, about 10% of<br />

forward propulsion is produced by the legs (e. g. Holl<strong>and</strong>er et al. 1988).<br />

For a detailed discussion about the pro <strong>and</strong> cons of this model the reader<br />

is referred to Zamparo et al. (2005) <strong>and</strong> Zamparo (2006).<br />

Dur<strong>in</strong>g the experiments video records were taken, with a sampl<strong>in</strong>g<br />

rate of 50 Hz, by means of a video-camera (TS-6031PSC, CANO-<br />

PUS, UK) positioned 0.5 m below the water surface, perpendicular to<br />

the swimmer’s direction (the subjects swam <strong>in</strong> the second lane, at a distance<br />

of 7-8 m from the camera). After the experiments, the data were<br />

downloaded to a PC <strong>and</strong> analyzed us<strong>in</strong>g a commercial software package<br />

(Tw<strong>in</strong> pro, SIMI, G). In FCS trunk <strong>in</strong>cl<strong>in</strong>e (TI, degrees) was measured<br />

from the angle with the horizontal of the segment between the shoulder<br />

(acromion) <strong>and</strong> the hip (great trochanter) whereas <strong>in</strong> HOS, <strong>in</strong>stead of<br />

the shoulder, the marg<strong>in</strong> of the axilla was marked <strong>in</strong>stead (s<strong>in</strong>ce the<br />

shoulder jo<strong>in</strong>t is outside the water <strong>in</strong> this condition). The measurement<br />

of TI was taken, for a s<strong>in</strong>gle passage, at the end of the <strong>in</strong>-sweep (when<br />

the h<strong>and</strong> is directly below the shoulder) s<strong>in</strong>ce <strong>in</strong> this position the rotation<br />

around the sagittal axis is the least <strong>and</strong> has the smaller <strong>in</strong>fluence on<br />

the degree of rotation (see also Kjendlie et al. 2004).<br />

F<strong>in</strong>ally, the subjects were equipped with a waterproof heart rate<br />

monitor<strong>in</strong>g system (RS800sd, Polar, Fi) so their heart rate (HR, bpm)<br />

at the end of each trial was recorded as well. These data should <strong>in</strong>dicate,<br />

albeit <strong>in</strong>directly, whether the differences <strong>in</strong> the k<strong>in</strong>ematical/biomechanical<br />

parameters between styles <strong>and</strong> groups do <strong>in</strong>deed lead to differences<br />

<strong>in</strong> the energetics of swimm<strong>in</strong>g.<br />

Statistical analysis was carried out by means of an ANOVA test<br />

(SPSS v17.0, SPSS Inc., Chicago Ill., USA) for repeated measures: two<br />

groups (G-12 <strong>and</strong> G-16), four speeds (V1 –V4) <strong>and</strong> two conditions<br />

(FCS: front crawl swimm<strong>in</strong>g <strong>and</strong> HOS: head out swimm<strong>in</strong>g).<br />

measurement of TI was taken, for a s<strong>in</strong>gle passage, at the end of the <strong>in</strong>-sweep (when the<br />

h<strong>and</strong> is directly below the shoulder) s<strong>in</strong>ce <strong>in</strong> this position the rotation around the sagittal<br />

axis is the least <strong>and</strong> has the smaller <strong>in</strong>fluence on the degree of rotation (see also<br />

Kjendlie et al. 2004).<br />

F<strong>in</strong>ally, the subjects were equipped with a waterproof heart rate monitor<strong>in</strong>g system<br />

(RS800sd, Polar, Fi) so their heart rate (HR, bpm) at the end of each trial was recorded<br />

as well. These data should <strong>in</strong>dicate, albeit <strong>in</strong>directly, whether the differences <strong>in</strong> the<br />

k<strong>in</strong>ematical/biomechanical parameters between styles <strong>and</strong> groups do <strong>in</strong>deed lead to<br />

results<br />

differences <strong>in</strong> the energetics of swimm<strong>in</strong>g.<br />

In tables 1 <strong>and</strong> 2 are reported the average ± 1 SD values of all the <strong>in</strong>ves-<br />

<strong>Biomechanics</strong> <strong>and</strong> <strong>Medic<strong>in</strong>e</strong> <strong>in</strong> Swimm<strong>in</strong>g <strong>XI</strong> Chapter 2 <strong>Biomechanics</strong> b<br />

tigated parameters for the two groups (Table 1: G-12; Table 2: G-16)<br />

at swimm<strong>in</strong>g). the four speeds <strong>and</strong> <strong>in</strong> the two conditions (FCS <strong>and</strong> HOS). In both<br />

conditions RESULTS (HOS <strong>and</strong> FCS) <strong>and</strong> for both groups (G-12 <strong>and</strong> G-16), with<br />

<strong>in</strong>creas<strong>in</strong>g speed (from V1: slow to V4: maximal) KF <strong>and</strong> SF <strong>in</strong>crease<br />

while SL <strong>and</strong> ηp decrease; moreover, with <strong>in</strong>creas<strong>in</strong>g speed TI decreases<br />

while HR <strong>in</strong>creases (ANOVA, F (3, 57) , p < 0.001 <strong>in</strong> all cases).<br />

Statistical analysis was carried out by means of an ANOVA test (SPSS v17.0, SPSS<br />

Inc., Chicago Ill., USA) for repeated measures: two groups (G-12 <strong>and</strong> G-16), four 188<br />

speeds (V1 –V4) <strong>and</strong> two conditions (FCS: front crawl swimm<strong>in</strong>g <strong>and</strong> HOS: head out<br />

were downloaded to a PC <strong>and</strong> analyzed us<strong>in</strong>g a commercial software package (Tw<strong>in</strong><br />

In pro, tables SIMI, 1 G). <strong>and</strong> In 2 FCS are trunk reported <strong>in</strong>cl<strong>in</strong>e the (TI, average degrees) ± was 1 SD measured values from of all the the angle <strong>in</strong>vestigated with the<br />

parameters horizontal for of the two segment groups between (Table 1: the G-12; shoulder Table 2: (acromion) G-16) at the <strong>and</strong> four the speeds hip <strong>and</strong> (great <strong>in</strong><br />

the trochanter) two conditions whereas (FCS <strong>in</strong> HOS, <strong>and</strong> HOS). <strong>in</strong>stead In of both the conditions shoulder, the (HOS marg<strong>in</strong> <strong>and</strong> FCS) of the <strong>and</strong> axilla for both was<br />

groups marked (G-12 <strong>in</strong>stead <strong>and</strong> (s<strong>in</strong>ce G-16), the with shoulder <strong>in</strong>creas<strong>in</strong>g jo<strong>in</strong>t speed is outside (from V1: the water slow to <strong>in</strong> V4: this maximal) condition). KF The <strong>and</strong><br />

SF<br />

measurement<br />

<strong>in</strong>crease while<br />

of TI<br />

SL<br />

was<br />

<strong>and</strong><br />

taken, for<br />

ηp decrease;<br />

a s<strong>in</strong>gle<br />

moreover,<br />

passage, at<br />

with<br />

the<br />

<strong>in</strong>creas<strong>in</strong>g<br />

end of the <strong>in</strong>-sweep<br />

speed TI<br />

(when<br />

decreases<br />

the<br />

while h<strong>and</strong> is HR directly <strong>in</strong>creases below (ANOVA, the shoulder) s<strong>in</strong>ce F(3, 57), p < 0.001 <strong>in</strong> this <strong>in</strong> position all cases). the rotation around the sagittal<br />

axis is the least <strong>and</strong> has the smaller <strong>in</strong>fluence on the degree of rotation (see also<br />

Table 1. Average values ± 1 SD of the <strong>in</strong>vestigated parameters for the<br />

Kjendlie et al. 2004).<br />

G-12 group<br />

Table 1. Average values ± 1 SD of the <strong>in</strong>vestigated parameters for the G-12 group<br />

V (m<br />

FCS<br />

. s -1 ) SF (Hz) SL (m ) KF(Hz) ηp TI (deg) HR (bpm)<br />

V1 0.94 ± 0.06 0.45 ± 0.12 2.22 ± 0.57 1.85 ± 0.37 0.45 ± 0.08 23.4 ± 3.99 149 ± 17<br />

V2 1.07 ± 0.11 0.59 ± 0.05 1.81 ± 0.21 1.86 ± 0.73 0.38 ± 0.04 21.0 ± 3.85 162 ± 12<br />

V3 1.15 ± 0.13 0.76 ± 0.10 1. 54 ± 0.18 2.01 ± 0.60 0.32 ± 0.04 18.1 ± 3.91 169 ± 11<br />

V4 1.25 ± 0.16 0.85 ± 0.13 1.49 ± 0.26 2.50 ± 0.60 0.31 ± 0.06 13.5 ± 4.51 165 ± 11<br />

V1 0.95 ± 0.09 0.69 ± 0.07 1.39 ± 0.18 1.56 ± 0.71 0.29 ± 0.04 33.7 ± 9.08 159 ± 14<br />

HOS V2 1.00 ± 0.12 0.73 ± 0.07 1.38 ± 0.20 1.76 ± 0.85 0.29 ± 0.04 28.7 ± 4.62 167 ± 15<br />

V3 1.12 ± 0.15 0.89 ± 0.15 1.30 ± 0.26 1.85 ± 0.84 0.27 ± 0.05 30.2 ± 4.97 174 ± 16<br />

V4 1.16 ± 0.18 0.93 ± 0.16 1.28 ± 0.25 2.04 ± 0.76 0.27 ± 0.05 22.2 ± 8.06 176 ± 16<br />

Table 2. Average values ± 1 SD of the <strong>in</strong>vestigated parameters for the G-16 group<br />

V (m . s -1 F<strong>in</strong>ally, the subjects were equipped with a waterproof heart rate monitor<strong>in</strong>g system<br />

(RS800sd, Polar, Fi) so their heart rate (HR, bpm) at the end of each trial was recorded<br />

as well. These data should <strong>in</strong>dicate, albeit <strong>in</strong>directly, whether the differences <strong>in</strong> the<br />

k<strong>in</strong>ematical/biomechanical parameters between styles <strong>and</strong> groups do <strong>in</strong>deed lead to<br />

differences <strong>in</strong> the energetics of swimm<strong>in</strong>g.<br />

Statistical analysis was carried out by means of an ANOVA test (SPSS v17.0, SPSS<br />

Inc., Chicago Ill., USA) for repeated measures: two groups (G-12 <strong>and</strong> G-16), four<br />

speeds (V1 –V4) <strong>and</strong> two conditions (FCS: front crawl swimm<strong>in</strong>g <strong>and</strong> HOS: head out<br />

swimm<strong>in</strong>g).<br />

RESULTS<br />

In tables 1 <strong>and</strong> 2 are reported the average ± 1 SD values of all the <strong>in</strong>vestigated<br />

parameters for the two groups (Table 1: G-12; Table 2: G-16) at the four speeds <strong>and</strong> <strong>in</strong><br />

the two conditions (FCS <strong>and</strong> HOS). In both conditions (HOS <strong>and</strong> FCS) <strong>and</strong> for both<br />

groups (G-12 <strong>and</strong> G-16), with <strong>in</strong>creas<strong>in</strong>g speed (from V1: slow to V4: maximal) KF <strong>and</strong><br />

SF <strong>in</strong>crease while SL <strong>and</strong> ηp decrease; moreover, with <strong>in</strong>creas<strong>in</strong>g speed TI decreases<br />

while HR <strong>in</strong>creases (ANOVA, F(3, 57), p < 0.001 <strong>in</strong> all cases).<br />

Table 2. Average values ± 1 SD of the <strong>in</strong>vestigated parameters for the<br />

G-16 <strong>Biomechanics</strong> group <strong>and</strong> <strong>Medic<strong>in</strong>e</strong> <strong>in</strong> Swimm<strong>in</strong>g <strong>XI</strong> Chapter 2 <strong>Biomechanics</strong> b 189<br />

) SF (Hz) SL (m ) KF(Hz) ηp TI (deg) HR (bpm)<br />

Table 1. Average values ± 1 SD of the <strong>in</strong>vestigated parameters for the G-12 group<br />

V (m . s -1 ) SF (Hz) SL (m ) KF(Hz) ηp TI (deg) HR (bpm)<br />

V1 0.94 1.01 ± 0.06 0.08 0.45 0.48 ± 0.12 0.07 2.22 2.13 ± 0.57 0.34 1.85 1.43 ± 0.37 0.48 0.45 0.43 ± 0.08 0.07 23.4 24.0 ± 3.99 5.62 149 131 ± 17 13<br />

V2 1.07 1.15 ± 0.11 0.08 0.59 ± 0.05 0.15 1.81 2.04 ± 0.21 0.56 1.86 1.82 ± 0.73 0.31 0.38 0.39 ± 0.04 0.07 21.0 21.4 ± 3.85 5.20 162 141 ± ± 12 8<br />

FCS<br />

FCS V3 1.15 1.27 ± 0.13 0.76 0.66 ± 0.10 0.12 1. 1.97 54 ± 0.18 0.32 2.01 2.03 ± 0.60 0.53 0.32 0.40 ± 0.04 0.06 18.1 20.0 ± 3.91 5.49 169 157 ± 11<br />

V4 1.25 1.37 ± 0.16 0.12 0.85 0.74 ± 0.13 0.10 1.49 1.88 ± 0.26 0.27 2.50 2.40 ± 0.60 0.31 0.38 ± 0.06 13.5 14.6 ± 4.51 3.71 165 166 ± ± 11 8<br />

V1 0.95 1.01 ± 0.09 0.12 0.69 0.60 ± 0.07 0.09 1.39 1.70 ± 0.18 0.23 1.56 1.30 ± 0.71 0.52 0.29 0.34 ± 0.04 0.05 33.7 34.4 ± 9.08 3.39 159 153 ± 14 15<br />

HOS V2 1.00 1.13 ± 0.12 0.09 0.73 0.70 ± 0.07 0.11 1.38 1.66 ± 0.20 0.33 1.76 1.55 ± 0.85 0.55 0.29 0.34 ± 0.04 0.07 28.7 27.6 ± 4.62 3.81 167 160 ± 15 14<br />

V3 1.12 1.24 ± 0.15 0.11 0.89 0.78 ± 0.15 0.08 1.30 1.62 ± 0.26 0.25 1.85 1.78 ± 0.84 0.69 0.27 0.33 ± 0.05 30.2 30.9 ± 4.97 3.33 174 165 ± 16 13<br />

V4 1.16 1.33 ± 0.18 0.13 0.93 0.84 ± 0.16 0.08 1.28 1.59 ± 0.25 0.23 2.04 2.10 ± 0.76 0.61 0.27 0.32 ± 0.05 22.2 ± 8.06 4.43 176 175 ± ± 16 9<br />

The comparison between styles (both groups considered, at all swim-<br />

Table 2. Average values ± 1 SD of the <strong>in</strong>vestigated parameters for the G-16 group<br />

V (m . s -1 The comparison between styles (both groups considered, at all swimm<strong>in</strong>g speeds)<br />

<strong>in</strong>dicates that all parameters are significantly different <strong>in</strong> the two conditions (HOS <strong>and</strong><br />

m<strong>in</strong>g FCS) (ANOVA, speeds) <strong>in</strong>dicates F(1, 19), p < that 0.05 all <strong>in</strong> all parameters cases). Swimm<strong>in</strong>g are significantly with the head different out leads <strong>in</strong> to a<br />

the small two (2%), conditions albeit ) significant, (HOS SF (Hz) reduction <strong>and</strong> SL (m FCS) ) of the (ANOVA, KF(Hz) self select speed F <strong>in</strong> comparison ηp TI (deg) HR to (bpm) FCS.<br />

(1, 19) , p < 0.05 <strong>in</strong> all<br />

Dur<strong>in</strong>g HOS the players have a larger (32%) <strong>in</strong>cl<strong>in</strong>ation of the trunk with the horizontal<br />

cases). Swimm<strong>in</strong>g with the head out leads to a small (2%), albeit signifi-<br />

<strong>and</strong> a higher heart rate (7%) compared to FCS. Moreover, <strong>in</strong> HOS, SL <strong>and</strong> ηp are<br />

cant, significantly reduction reduced of the (21% self <strong>in</strong> both select cases) speed whereas <strong>in</strong> comparison SF is <strong>in</strong>creased to (17%) FCS. <strong>in</strong> Dur<strong>in</strong>g respect to<br />

HOS FCS. F<strong>in</strong>ally, the players KF is 10% have lower a larger dur<strong>in</strong>g (32%) HOS than <strong>in</strong>cl<strong>in</strong>ation dur<strong>in</strong>g FCS. of the trunk with the<br />

The comparison between groups (both styles considered, at all swimm<strong>in</strong>g speeds)<br />

horizontal <strong>in</strong>dicates that <strong>and</strong> there a higher are no significant heart rate differences (7%) compared between groups to FCS. (G-12 Moreover, <strong>and</strong> G-16) <strong>in</strong> <strong>in</strong> TI<br />

<strong>and</strong> KF. However, players of G-12 swim at a significantly lower pace than those of G-<br />

HOS, SL <strong>and</strong> ηp are significantly reduced (21% <strong>in</strong> both cases) whereas<br />

SF is <strong>in</strong>creased (17%) <strong>in</strong> respect to FCS. F<strong>in</strong>ally, KF is 10% lower dur<strong>in</strong>g<br />

HOS than dur<strong>in</strong>g FCS.<br />

The comparison between groups (both styles considered, at all swim-<br />

16 (9%), with a lower SL (14%), a higher SF (8%) <strong>and</strong> a lower ηp (11%) (ANOVA, F(1,<br />

19), p < 0.05 <strong>in</strong> all cases). F<strong>in</strong>ally, HR is 5% lower <strong>in</strong> G-16 than <strong>in</strong> G-12 albeit this<br />

difference does not reach a significant level (p = 0.06).<br />

DISCUSSION<br />

m<strong>in</strong>g speeds) <strong>in</strong>dicates that there are no significant differences between<br />

Data reported <strong>in</strong> this study <strong>in</strong>dicate that HOS is characterized by relevant differences <strong>in</strong><br />

groups the biomechanics (G-12 <strong>and</strong> of swimm<strong>in</strong>g G-16) <strong>in</strong> <strong>in</strong> TI comparison <strong>and</strong> KF. with However, FCS. The players need of keep<strong>in</strong>g G-12 swim the head<br />

at out a of significantly the water does lower <strong>in</strong>deed pace lead than to an <strong>in</strong>crease those of G-16 TI (<strong>and</strong> (9%), thus to with an <strong>in</strong>crease a lower of frontal SL<br />

area <strong>and</strong> hydrodynamic resistance) whereas the need of keep<strong>in</strong>g the elbows high does<br />

(14%), <strong>in</strong>deed a lead higher to an SF <strong>in</strong>crease (8%) of <strong>and</strong> SF a <strong>and</strong> lower thus ηto p (11%) a reduction (ANOVA, of the distance F (1, 19) , covered p < 0.05 per<br />

<strong>in</strong> stroke all cases). (<strong>and</strong> of F<strong>in</strong>ally, the arm stroke HR is efficiency). 5% lower Both <strong>in</strong> needs G-16 do than <strong>in</strong>deed <strong>in</strong> result, G-12 as albeit hypothesized, this<br />

<strong>in</strong> an <strong>in</strong>crease of the energy requirement of this peculiar “form of locomotion <strong>in</strong> water”<br />

difference does not reach a significant level (p = 0.06).<br />

as confirmed, albeit <strong>in</strong>directly, by the higher HR <strong>in</strong> HOS than <strong>in</strong> FCS at any given<br />

speed.<br />

Interest<strong>in</strong>gly, KF is lower dur<strong>in</strong>g HOS than FCS <strong>and</strong> this suggests that these players<br />

are not able to contrast the larger trunk <strong>in</strong>cl<strong>in</strong>e with a more frequent/forceful leg kick.<br />

dIscussIon<br />

Moreover, KF <strong>and</strong> TI do not change with the years of practice (no differences are<br />

Data observed reported between <strong>in</strong> the this two study groups <strong>in</strong>dicate for these two that parameters) HOS is characterized <strong>and</strong> this suggests by that rel- more<br />

experienced swimmers essentially rely on a better arm stroke efficiency to overcome the<br />

evant differences <strong>in</strong> the biomechanics of swimm<strong>in</strong>g <strong>in</strong> comparison with<br />

challenges of this “swimm<strong>in</strong>g style”.<br />

FCS. The need of keep<strong>in</strong>g the head out of the water does <strong>in</strong>deed lead<br />

to an <strong>in</strong>crease of TI (<strong>and</strong> thus to an <strong>in</strong>crease of frontal area <strong>and</strong> hydrodynamic<br />

resistance) whereas the need of keep<strong>in</strong>g the elbows high does<br />

<strong>in</strong>deed lead to an <strong>in</strong>crease of SF <strong>and</strong> thus to a reduction of the distance<br />

covered per stroke (<strong>and</strong> of the arm stroke efficiency). Both needs do<br />

<strong>in</strong>deed result, as hypothesized, <strong>in</strong> an <strong>in</strong>crease of the energy requirement<br />

of this peculiar “form of locomotion <strong>in</strong> water” as confirmed, albeit <strong>in</strong>directly,<br />

by the higher HR <strong>in</strong> HOS than <strong>in</strong> FCS at any given speed.<br />

CONCLUSIONS<br />

This study suggests that while tra<strong>in</strong><strong>in</strong>g young water polo players is necessary to<br />

improve as much as possible the efficiency of the arm stroke. Moreover, it <strong>in</strong>dicates the<br />

importance to teach them how to perform a cont<strong>in</strong>uous <strong>and</strong> regular leg kick to raise, as

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