12. Which graph BEST represents the relationship between velocity and time for an object that accelerates uniformly for 2 seconds, then moves at a constant velocity for 1 second, and finally decelerates for 3 seconds?
Type Answer HERE:
The answer cannot be provided without the options of the graphs.
The graph would be as follows:
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v |
e |
l |
o - |
c |
i |
t | ____/
y | ___/
| __/
| _/
| __/
| _/
|/
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t-axis
To determine the relationship between velocity and time for the given scenario, we need to analyze the different phases of motion that the object undergoes: acceleration, constant velocity, and deceleration.
1. Acceleration phase (2 seconds):
During this phase, the object is accelerating uniformly. This means that its velocity is increasing at a constant rate over time. The graph for this phase would be a straight line with a positive slope, indicating a linear increase in velocity.
2. Constant velocity phase (1 second):
After the acceleration phase, the object maintains a constant velocity for 1 second. In this phase, the graph would be a horizontal line, since the velocity does not change over time.
3. Deceleration phase (3 seconds):
Finally, the object decelerates for 3 seconds, meaning its velocity decreases at a constant rate. The graph for this phase would be a straight line with a negative slope, indicating a linear decrease in velocity.
Considering these phases, the BEST graph representing the relationship between velocity and time for the given scenario would be a combination of all three phases. It would include a straight line with a positive slope for the acceleration phase, followed by a flat line for the constant velocity phase, and then a straight line with a negative slope for the deceleration phase.
Unfortunately, as a text-based AI, I cannot provide visual representations. However, you can search for "graphs of uniformly accelerated motion" to find visual examples that show the relationship between velocity and time for an object undergoing different phases of motion.