potential and kinetic energy select the point where the pendulum has the highest kinetic energy, and the…

Explanation:

Step1: Recall energy - conversion principle

The total mechanical energy of a pendulum (sum of kinetic and potential energy) is conserved in the absence of non - conservative forces. Kinetic energy $K=\frac{1}{2}mv^{2}$ and potential energy $U = mgh$.

Step2: Analyze pendulum motion

The pendulum has the highest speed at its lowest point in the swing. At this point, the height $h$ is the lowest, so the potential energy $U=mgh$ is the lowest. Since the total energy $E = K + U$ is constant, when $U$ is the lowest, $K$ is the highest.

Answer:

The lowest point of the pendulum's swing.