So, I got distracted from curriculum development, so here are some graphs I was curious about. They were made on my phone using desmos.
Energy vs Time, including total, kinetic, potential, and thermal.
Energy vs Distance Traveled
Mechanical Energy vs Position
Energy vs Position, including total, kinetic, potential, and thermal.
Now With less Damping
Now Critically Damped (this one is not released from rest)
And of course, no damping
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