The horizontal distance traveled by a person from a given launch point to the first point of impact has three components consisting of the takeoff, flight, and landing distances. The flight distance is the horizontal distance traveled by the center of mass of the person through the air. The takeoff distance, d_T, is the horizontal distance from the center of mass to the foot on the ground at the instant that the person becomes airborne. The center of mass could be 0.5 m beyond the edge of a cliff or building when the person first becomes airborne. The landing distance, d_L, is the horizontal distance from the center of mass to the first point of impact, and may also be around 0.5 m. The horizontal launch speed required to jump a horizontal distance of 1 m is therefore zero because a person can simply step that distance at essentially zero speed.
Suppose that the center of mass of a person falls through a vertical height H and travels a horizontal distance D through the air, as shown in Fig. 1. If we ignore the effects of air resistance or wind, then H and D are related to the launch speed v0 and the launch angle θ_0 by
The horizontal distance traveled by a person from a given launch point to the first point of impact has three components consisting of the takeoff, flight, and landing distances. The flight distance is the horizontal distance traveled by the center of mass of the person through the air. The takeoff distance, d_T, is the horizontal distance from the center of mass to the foot on the ground at the instant that the person becomes airborne. The center of mass could be 0.5 m beyond the edge of a cliff or building when the person first becomes airborne. The landing distance, d_L, is the horizontal distance from the center of mass to the first point of impact, and may also be around 0.5 m. The horizontal launch speed required to jump a horizontal distance of 1 m is therefore zero because a person can simply step that distance at essentially zero speed. Suppose that the center of mass of a person falls through a vertical height H and travels a horizontal distance D through the air, as shown in Fig. 1. If we ignore the effects of air resistance or wind, then H and D are related to the launch speed v0 and the launch angle θ_0 by
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