A wrecking ball attached to a crane swings back and forth. The distance that the ball moves to the left and right of its resting position with respect to time is represented by the following graph.
hmmmm. It is periodic, either a sine, or cosine
To understand the distance that the wrecking ball moves to the left and right with respect to time, we can analyze the given graph.
The graph should show time on the x-axis and the distance moved by the ball on the y-axis.
Start by looking at the x-axis. Determine the range and scale of the time values represented on the graph. For example, each grid line on the x-axis could represent a certain unit of time, like seconds or minutes.
Next, observe the y-axis. Look at the range and scale of the distance values shown on the graph. Each grid line on the y-axis could represent a certain unit of distance, such as meters or feet.
Now, analyze the shape of the graph. Determine if it is a continuous line or made up of individual points connected by a line. This will give you an idea of whether the motion of the ball is smooth or there are sudden changes in direction.
Pay attention to the direction of the movement. When the line or points are above the x-axis, it indicates movement to the right, and when it's below the x-axis, it represents movement to the left.
Observe the amplitude, which is the maximum distance from the resting position that the ball reaches on either side. It can be measured by finding the maximum value on the y-axis.
Finally, analyze the period or frequency of the ball's movement. It is the length of time it takes for the ball to complete one full swing from one side to the other or from one extreme point to the other extreme point. It can be measured by finding the time difference between two consecutive points or by calculating the time taken for one complete cycle.
By following these steps and interpreting the graph, you can understand the distance that the wrecking ball moves to the left and right with respect to time.