<p><strong>The purpose</strong> – to develop and experimentally substantiate the method of developing the physical qualities of tennis players aged 12–13 years old, using React Balls and stretching.</p><p><strong>Material and methods</strong>. The experiment was attended by 28 tennis players 12-13 years old sport school № 3, Severodonetsk, who were divided into control and experimental group of 14 people. The study was conducted within 8 months from August 2018 to March 2019. Before and after the experiment, tennis players' physical fitness was tested (shuttle run 6x8 m, push-ups 30 s, jumps with skipping-rope, running 6 m, running 30 m, long jump from the spot, throwing ball 1 kg, torso inclination forward from a sitting position, circular rotations in the shoulder joint with a gymnastic stick).</p><p><strong>Results</strong><em>. </em>Complexes of exercises with React Balls and stretch exercises for all muscle groups were developed and introduced into the training process of young tennis players. A significant (p&lt;0.05) increase in the flexibility indicators of athletes from the experimental group, as a result of the use of stretch exercises, was determined. It was revealed that doing exercises with React Balls and tennis balls significantly (p &lt;0.05) increased the level of speed and coordination capabilities in the control and experimental groups. According to the test results «running 30 m», «circular rotations in the shoulder joint with a gymnastic stick», «torso inclination forward from a sitting position» in the experimental group, these figures are significantly higher compared with the athletes of the control group.</p><p><strong>Conclusions.</strong>  It was shown that the use of stretching exercises contributes to the development of greater amplitude of movements, and also forms motor freedom, which affects the development of coordination and speed of movement of a tennis player. It is recommended to use the method of development of physical qualities using React Balls and stretching balls in the training process of young tennis players 12-13 years old.</p>

<p><strong>The purpose</strong> of the work: to determine the factor structure of the complex preparedness of shooters of 14-15 years who specialize in the Classic bow, for rational construction of the training process of athletes of this age category.</p><p><strong>Material and methods.</strong> The experiment was attended by 16 bow-shooters (girls) aged 14-15 years old, specializing in Classic bow, sport school "Avangard" in Kyiv. The experiment was conducted in the preparatory period, September 2018. The archers were tested for physical fitness (shuttle running 4x9m, push-ups 30 s, jumping with skipping-rope, running 30 m, Romberg test, hanging on bent hands at an angle of 90˚, jump in length from place, raising the torso to a sitting position, dynamometry of the right and left hands), technical preparedness (holding the bow in the "stretch", archery 18 m, archery 60 m, stretching the bow on the right and left hand for 30 s). The obtained data were processed mathematically using factor analysis methods.</p><p><strong>Results</strong>. The factor structure of physical and technical preparedness of shooters, which are at the stage of specialized basic training, is established. Five factors were identified: static power endurance, dynamic power endurance, coordination capabilities, speed capabilities, strength capabilities.</p><p><strong>Conclusions</strong>. It is revealed that the most important indicators of the complex training of archers 14-15 years old are the indicators of shooting in the open air and indicators of the static strength of the archer, as well as indicators of shooting in the room and indicators of the dynamic endurance of the archer, indicating the dependence of physical and technical training. The use of rational means and methods of physical and technical training in the training process of athletes is recommended.</p>