22. 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 Chapter 9. The components of the position of an athlete’s center of mass from the beginning to the end of a certain jump are described by the two equations ...

 22.  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 Chapter 9. The components of the position of an athlete’s center of mass from the beginning to the end of a certain jump are described by the two equations 

xf=0+(11.2 m/s)(cos 18.5°)t=0.360 m

0.84 m +(11.2 m/s)(sen 18.5°)t - 12(9.8m/s2)t2

 where t is the time at which the athlete lands after taking off at t 0. Identify (a) his vector position and (b) his vector velocity at the takeoff point. (c) The world long jump record is 8.95 m. How far did the athlete jump in this problem? (d) Describe the shape of the trajectory of his center of mass.