Question

The graph shows the distance y, in inches, a pendulum moves to the right (positive displacement) and to the left (negative displacement), for a given number of seconds x. How many seconds are required for the pendulum to move from its resting position and return? Enter your answer in the box.

Answer 1

Answer:

2 seconds.

Step-by-step explanation:

We have been given a graph of a sinusoidal function. The given graph the distance y, in inches for a given number of seconds, x.

We can see from our given graph that the positive displacement of pendulum (distance covered to the right ) is from time equals 0.5 seconds to 1.5 seconds.

We can also see that negative displacement of pendulum (distance covered to the left) is from x equals 1.5 to x equals 2.5.

To find the time it takes for the pendulum to move from its resting position and return, we will find the time taken by pendulum to complete one revolution.

We can see that at time equals 0.5 seconds pendulum starts to move in right direction and at time equals 1.5 pendulum moves to left. At time equals 2.5 seconds pendulum again starts to move in right direction.

So the time taken by pendulum to move from its resting position and return will be:

$\text{Time taken by pendulum to complete one revolution}=\text{2.5 seconds-0.5 seconds}$

$\text{Time taken by pendulum to complete one revolution}=\text{2 seconds}$

Therefore, 2 seconds are required for the pendulum to move from its resting position and return.

Answer 2

Answer:

1

Step-by-step explanation:

Since it is asking how many seconds from the resting position, it is measured as the distance from the maximum or minimum, which is 1 second.