Problem $11\mathrm{.}092.$b $-$ Analyze the motion of a particle given $x$ and $y$ as functions of $t-$ plot velocity, position,time

The motion of a particle is defined by the equations $x=10t-5sin(t)$ and $y=10-5cos(t),$ where $x$ and $y$ are expressed in feet and $t$ is expressed in seconds. Sketch the path of the particle for the time interval $0t2$ and determine the corresponding times, positions, and directions of the velocities.