Because of the Slope-Intercept equation. The model of any line can be described by the formula y=mx+b. The m is a number that represents the slope of a line. Whoever discovered the equation chose m instead of s. Probably because s usually represents the summnation of a series of numbers, so the mathemetician chose m to prevent confusion.
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You can call it s if you want to but m has been the standard - it stands for "modulus" and is commonly used to indicate slope
no one cares * * * * * The fact that the question was asked is an indication that at least one person cares. In fact, it has been asked before. So just because you (original answerer) do not care does not mean that others do not. "M" stood for the Modulus of slope.
The average slope in that interval is('y'-value at 30 s) - ('y'-value at 10 s)/20 s
Simply put, a velocity time graph is velocity (m/s) in the Y coordinate and time (s) in the X and a position time graph is distance (m) in the Y coordinate and time (s) in the X if you where to find the slope of a tangent on a distance time graph, it would give you the velocity whereas the slope on a velocity time graph would give you the acceleration.
24 (m/s) / 18 s = 1.33 m/s/s or 1.33 m/s224 (m/s) / 18 s = 1.33 m/s/s or 1.33 m/s224 (m/s) / 18 s = 1.33 m/s/s or 1.33 m/s224 (m/s) / 18 s = 1.33 m/s/s or 1.33 m/s2