Two additions:
1. One way to work the leg motion in isolation is to get on the floor on all fours--knees and elbows. Then shift your hip to take the weight off one knee and kick that heel toward the ceiling, aiming as far up behind you, in the direction of your head as you can. Your kicking knee should begin beside the other knee, come toward your chest as you chamber, then extend high. Practicing this motion will also help you discover what is limiting your motion as the position limits your spine movement. Muscle strength is related to flexibility, and you are still developing many muscles along with your coordination.
2. Reaching high with a back kick also requires flexibility on the front of you leg--your quads and hip flexors. Work on quad stretches and front splits
Not arguing the method but swinging up while on all fours can hyperextend your quads & hip flexor tendons if not warmed up and could lead to lower back issues. When you back kick your leg is supposed to be paralell with your body or a little higher depending on extention. Most people turn it into a side kick for extra height.
Don't try to go too high. Groin level works great for self defense (if they are behind you, at a distance(I do not advocate turning ypour back in real self defense)) and body is all you need for sparring.
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