The graph below shows the vertical displacement of a mass suspended on a spring from its rest position. Determine the period and amplitude of the displacement of the mass as shown in the graph. ?
And the following equation satisfies those conditions.
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To determine the period and amplitude of the displacement of the mass from the graph, follow these steps:

Period:
 The period ( T ) is the time it takes for one complete cycle of the motion.
 Identify one complete cycle on the graph. This is usually from one peak (maximum displacement) to the next peak or from one trough (minimum displacement) to the next trough.
 Measure the time it takes for this complete cycle. This time period represents the period ( T ).

Amplitude:
 The amplitude ( A ) is the maximum displacement of the mass from its rest position.
 Identify the highest peak and the lowest trough on the graph.
 Measure the vertical distance between the rest position and either the peak or the trough. This vertical distance represents the amplitude ( A ).
Once you have measured the period and amplitude from the graph, you'll have the required values.
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When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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