The graph below shows a plot of potential energy $U$ versus position $x$ of a $0\mathrm{.}200$ kg particle that can travel only along an $x$ axis under the influence of a conservative force. The graph has these values: $U_A=9\mathrm{.}00J,U_C=20\mathrm{.}00J,$ and $U_D=24\mathrm{.}00J.$ The particle is released at the point where $U$ forms a "potential hill" of "height" $U_B=12\mathrm{.}00J,$ with kinetic energy $4\mathrm{.}00$ J $.$

a$)$ What is the speed of the particle at $x=3\mathrm{.}5m?$

b$)$ What is the speed of the particle at $x=6\mathrm{.}5m?$

c$)$ What is the position of the furning point on the right side?

d$)$ What is the position of the turning point on the left side?