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Kinetic and kinematic characteristics of two-way ballistic exercise across different load conditions: An exploratory impulse-velocity equilibrium analysis.

Created on 05 Oct 2026

Authors

Yiheng Zeng, Junlei Lin, Zhonghe Yang, Gaojun Li, Xiaowei Jia, Wei Li, Nicholas Ripley, Olivier Girard, Urs Granacher

Published in

Journal of sports sciences. Pages 1-14. Oct 04, 2026. Epub Oct 04, 2026.

Abstract

This study aimed to characterize load-dependent force-velocity characteristics during two-way ballistic (TWB) exercise to establish reference for load settings across various intensities. Twenty-four highly trained male athletes (Tier3) performed one-repetition maximum (1-RM) tests at 30%, 40%, 50%, 60%, 70% and 80% 1-RM in random order. Mean propulsive velocity (MPV), peak force (PF), mechanical power output (MPO) and 100-ms impulse during the upward propulsive phase were recorded. Linear regression analyses determined load-velocity, load-impulse and load-power relations. One-way ANOVA assessed intensity effects. Significant effects of load were observed for MPV (η2 = 0.44), MPO (η2 = 0.22) and 100-ms impulse (η2 = 0.81) across intensities (all p < 0.01), while PF showed no significant variation (p = 0.796, η2 = 0.02). MPO peaked at 68.8 ± 13.8% 1-RM. The load-velocity relation showed a moderate negative correlation (R2 = 0.436). The load-impulse relation showed a strong positive correlation (R2 = 0.809). The kinetic efficiency equilibrium (KEE) was identified at 56.5% 1-RM. TWB exercise showed relatively stable power output and limited velocity loss across the tested loading range. The KEE provides a descriptive framework for characterizing the relation between force-time and velocity-related variables within the tested system.

PMID:
42829953
Bibliographic data and abstract were imported from PubMed on 05 Oct 2026.

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