Wht would you suggest training for more explosive movements, if situps are not the way to go?
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To be honest, I don't train my core that much. My gymnastics training is inherently a good ab workout. What I have done though, for a little extra work is full ROM hanging leg raises. I would hang from rings, but a bar would work just fine. With straight legs, bring your legs up to the side, swing them around in front of you, then down the other side. Rotate the other direction on the next rep. If that's too hard, do it with tucked legs. You can also deadhang, and as explosively as possible, touch your toes to the bar you're hanging from, trying to focus on your pelvis tilting, and not using leg muscles.
As mentioned, back tucks are sweet for explosiveness