Here's why:
* Area under a curve: The area under any curve on a graph represents the product of the quantities represented on the axes.
* Speed-time graph: In a speed-time graph, the x-axis represents time (t) and the y-axis represents speed (v).
* Distance formula: We know that distance (d) is calculated as the product of speed and time: d = v * t.
Therefore, the area under a speed-time graph represents the product of speed and time, which is distance.
