The area under the velocity/time graph ... between two points in time ... is the distance covered during that time.
Funny thing ... if the velocity drops below zero (usually the x-axis) during that time, then the area isn't 'under' the graph. It's still the area between the graph and the zero-axis, but it counts as 'negative area', and it subtracts from the total distance.
The area under a velocity versus time graph represents the displacement of an object over a specific time interval. It accounts for both forward (positive) and backward (negative) movement, providing a net change in position. By calculating the area between the graph and the time axis, you can determine this displacement accurately.
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