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?
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The graph that best represents the relationship between velocity and time for the given scenario would be a step function type graph, where the velocity increases linearly for 2 seconds, then remains constant for 1 second, and finally decreases linearly for 3 seconds.
The graph that 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 is as follows:
Initially, the graph will have a positive slope indicating acceleration. After 2 seconds, the graph will level off and have a flat line indicating constant velocity for 1 second. Finally, the graph will have a negative slope indicating deceleration for the remaining 3 seconds.
To determine the graph that best represents the relationship between velocity and time for an object with the given conditions, we need to consider the different phases of the object's motion.
First, the object accelerates uniformly for 2 seconds. This means the velocity of the object is increasing at a constant rate during this time. Therefore, the graph should show a straight line with a positive slope.
Next, the object moves at a constant velocity for 1 second. This means the velocity remains constant and does not change during this time. The graph should show a horizontal line at the same level as the end point of the straight line in the previous phase.
Finally, the object decelerates for 3 seconds. This means the velocity of the object is decreasing at a constant rate during this time. Therefore, the graph should show a straight line with a negative slope.
Putting all these phases together, the graph should have a positive slope for the first 2 seconds, a horizontal line for the next 1 second, and a negative slope for the final 3 seconds.
The graph that best represents this relationship is a line with a positive slope for the first 2 seconds, followed by a horizontal line for 1 second, and then a line with a negative slope for the next 3 seconds. The specific shape of the lines will depend on the scales used for time and velocity on the graph, but the key feature is the positive slope, horizontal line, and negative slope in the appropriate time intervals.