Question

Plot the points that are given in the table below, where time (in seconds) represents your z-axis and displacement (in meters) represents your y-axis. Once you have plotted your

graph, determine the value of the slope.
Slope -
Time (s)
2
NN
Displacement (m)
19
31
49
61
9

Answer 1

To plot a graph of displacement vs. time, plot the given points and find the slope. The slope represents the velocity.

Step-by-step explanation:

To plot a graph of displacement vs. time, we need to plot the values from the given table. We plot time on the x-axis and displacement on the y-axis. The points are (19, 2), (31, 9), (49, 2), and (61, 9). Once we have plotted the points, we can determine the slope of the line connecting these points to find the value of the slope.

The slope of a graph represents the rate of change between the two variables. In this case, the slope represents the velocity. To find the slope, we can use the formula (y2 - y1) / (x2 - x1) where (x1, y1) and (x2, y2) are two points on the line. In this example, let's take the first two points (19, 2) and (31, 9). Plugging in the values, we get (9 - 2) / (31 - 19) = 7 / 12. Therefore, the slope (or velocity) is 7/12 meters per second.