Question

Please Help!

The graph shows the vertical displacement y, in centimeters, that a weight bouncing from a spring would achieve if there were no friction, for a given number of seconds, x.

From its resting position, how long does it take the weight to bounce one direction, then the other, and then return to its resting position?

-3s
-6s
-16s or
-32s

Answer 1

It would take 6 seconds for the weight to bounce one direction, then the other, and then return to its resting position

What is a periodic function?

A periodic function is a function that repeats itself at regular intervals. The period of this function is the time taken to complete one oscillation while the amplitude is the distance from the origin to peak.

From the diagram:

Time taken for the weight to bounce one direction, then the other, and then return to its resting position = 7.5s - 1.5 s = 6 s

It would take 6 seconds for the weight to bounce one direction, then the other, and then return to its resting position

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