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Mathematics
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The motion of a human body through space can be modeled as the motion of a particle at the body's center of mass as we will study in a later chapter. The components of the displacement of an athlete's center of mass from the beginning to the end of a certain jump are described by the equations xf = 0 + (10.5 m/s)(cos 18.5°)t 0.400 m = 0.610 m + (10.5 m/s)(sin 18.5°)t − ½(9.80 m/s2)t2 where t is in seconds and is the time at which the athlete ends the jump. (a) Identify the athlete's position at the takeoff point. (Let the x and y-direction be along the horizontal and vertical direction res
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