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Explain the difference between a position vs time, velocity vs time, and acceleration vs time graphs...

Explain the difference between a position vs time, velocity vs time, and acceleration vs time graphs for simple harmonic motion.
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Answer #1

here the three graph ,

graph-1

​here graph-1 is graph of position vs time for simple harmonic motion

Displacement vs position graph is a sine curve. Maximum displacement of the particle is y = A

which gives value of amptitude of wave

graph-2

​graph-2 is graph of velocity vs time graph

The velocity of the vibrating particle is maximum at the mean position , v = ωA and it is zero at the extreme points.

graph-3

​​graph-3 is graph of acceleration vs time graph

The acceleration of the vibrating particle is zero at the mean position and maximum at the extreme positions , that is `-ω2​​A or +ω2​A

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