Question

20 Points

The table shows the height in centimeters, that a weight bouncing from a spring would achieve if there were no friction, for a given number of seconds.


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


Enter your answer in the box.


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Answer 1

5

Sep-by-step explanation:

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Answer 2

From the data in the table, we see that the weight oscillates between two positions: 9 and -9cm. That means that, from the resting position (0), the weight bounces between 9 cm in one direction and 9 cm in other.

Let's identify the first time this weight is in its starting position, That's the first 0 in the table and we see that is after 1.25 seconds.

We can continue to follow the position of the weight:

- at 2.5 seconds it was at the maximum distance from the resting position in one direction

- at 3.75 seconds it was again in resting position

-at 5 seconds it was at the maximum distance from the resting position in other direction

- at 6.25 seconds it's again in resting position.

So, from 1.25 seconds to 6.25 seconds, the weight completed its oscilating cycle; it started from resting position, went to the maximum distance in both directions and finally returned to its resting potential.

The time weight took to complete a cycle was 6.25 - 1.25 = 5 seconds.