Chapter 11.4, Problem 11.93P

Engineers are examining how shock absorber designs affect the displacement of a mountain biker's hip after she lands from a jump. Immediately after the jump, the x and y locations of her hip can be described by $x\left(t\right)=20t+0.2\sin \left(\frac{4\pi }{3}t\right)$ and $y\left(t\right)=3.5+0.1e^{-0.3t}\sin \left(\frac{4\pi }{3}t\right)$ , where x and y are expressed in feet and t is expressed in seconds. Plot the path of the hip for the time interval $0\le t\le 3$ s and determine the hip's vertical position and the components of the hip velocity at $t=2$ s.