Which TWO graphs illustrate acceleration?
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1 point
Captionless Image
A
B
C
D
E
F
Graphs D and E illustrate acceleration.
To determine which two graphs illustrate acceleration, we should understand what acceleration represents. Acceleration is the rate at which velocity changes over time. It can be positive (when an object is speeding up) or negative (when an object is slowing down).
Looking at the given options, it is difficult to identify the graphs without visual representation or further descriptions. However, if we assume that the graphs show velocity versus time, we can make some educated guesses.
Graphs that show a constant positive slope would represent constant positive acceleration, while graphs that show a constant negative slope would represent constant negative acceleration.
Therefore, it is likely that the two graphs illustrating acceleration are the ones with a non-zero slope over time, either positive or negative. Without further information or visual representation, it is not possible to definitively select the two graphs that illustrate acceleration.
To determine which two graphs illustrate acceleration among the options given (A to F), we need to understand what acceleration means and how it can be represented graphically.
Acceleration is the rate at which an object changes its velocity. It is defined as the change in velocity divided by the change in time. Velocity, on the other hand, is the rate at which an object changes its displacement or position. Graphically, velocity can be represented by the slope of a displacement-time graph, whereas acceleration can be represented by the slope of a velocity-time graph.
Now, let's analyze the options:
Option A - Captionless Image: Without any information, it is impossible to determine if this graph represents acceleration.
Option B - This graph shows a constant positive slope. The constant positive slope indicates a constant increase in velocity over time, suggesting acceleration. So, this graph is a possible representation of acceleration.
Option C - This graph shows a flat, horizontal line. A horizontal line represents constant velocity, not acceleration. Therefore, this graph does not illustrate acceleration.
Option D - This graph shows a constant negative slope. The constant negative slope indicates a constant decrease in velocity over time, suggesting acceleration. So, this graph is a possible representation of acceleration.
Option E - This graph shows an irregular slope, implying a changing rate of velocity. The changing rate of velocity indicates acceleration. So, this graph is a possible representation of acceleration.
Option F - This graph shows a flat, horizontal line. As mentioned earlier, a horizontal line represents constant velocity, not acceleration. Therefore, this graph does not illustrate acceleration.
Based on our analysis, options B, D, and E are the possible graphs that illustrate acceleration. So, the correct answer is (B) and (D).