The motion of a human body through space can be precisely modeled as the motion
ID: 2133613 • Letter: T
Question
The motion of a human body through space can be precisely modeled as the motion of a particle at the body's center of mass. 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 two equations below, where t is the time at which the athlete lands after taking off at time t = 0.
xf =0 + (10.5 m/s)(cos 20.1
The motion of a human body through space can be precisely modeled as the motion of a particle at the body's center of mass. 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 two equations below, where t is the time at which the athlete lands after taking off at time t = 0. Identify his position. Identify his vector velocity at the takeoff point. The world long jump record is 8.95 m. How far did the athlete in this problem jump? Make a sketch of the motion of his center of mass. (Do this on paper. Your instructor may ask you to turn in this work.)Explanation / Answer
a) position= 0 (i^) + 0.779 (j^)
b) velocity=10.5m/s at 20.1 degrees above horizontal
c) distance he jumped= 8.263 m