$7\mathrm{.}9[18]$ A rotary joint moves in two$-$segment cubic spline with the desired velocity

of $-20\mathrm{.}0$ degrees$/$second at its via point. Sketch the graphs of position, velocity,

and acceleration for an initial position ${}_0=75\mathrm{.}0,$ via point ${}_v=60\mathrm{.}0,$ and a goal

point of ${}_g=50\mathrm{.}0.$ The first and second segments last for $1\mathrm{.}0$ and $0\mathrm{.}5$ seconds,

respectively. What are the accelerations right before and after the via point?

please sketch all the graphs.