Let's analyze this system using energy ideas. Because there are no springs or elastic materials involved, there are only two types of energy.

a$.$ At what position$($s$)$ is the kinetic energy $K$

$)=(\frac{1}{2}m{v}^2$

maximum? A minimum?

b$.$ At what position$($s$)$ is the gravitational potential energy $)=(mgy$ at a maximum? A minimum?

c$.$ Assume there is no friction or air resistance, and that mechanical energy is conserved. Sketch graphs for the $(i)$ kinetic energy, $($ii$)$ gravitational potential energy, and $($iii$)$ total mechanical energy of the pendulum mass as a function of the angular position $.$ Use a different color or different line type to distinguish the energies, and label each one.