When an object is oscillating or vibrating in a wave motion, the speed of the object varies along the path.
In this video, there are 3 examples of vibrating object.
1) Mass vibrating vertically from a spring
2) Pendulum bob oscillating
3) A particle vibrating up and down on a transverse wave
In general, when the object is at the extreme ends of the oscillation or vibration, it is momentarily at rest. Hence its KE at these points is minimum or 0 J.
And in the middle that is where the object is travelling the fastest, hence the KE is the maximum.
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