抄録
We employ the take-off model with three degrees of freedom in order to investigate the optimum take-off angle in long jump. This model includes three parameters : take-off speed and angle, and also horizontal speed of the jumper's body which gives the effect of run-up. Based on this model, the initial speed of take-off is derived successfully as a function of the initial angle. Comparing the function with other ones, which have been obtained by measurements in shot put and long jump, we estimate the model parameter of the horizontal speed and finally obtain the optimum angle. The results show good agreement with the measured data, and this means that the three DOF model is effective as a model for take-off in long jump.