Linear displacement is not equal to arc lengthy(S) , it is simply the length of straight line joining A and B . It would be approximately equal to arc length when time interval approaches zero
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@thecat unit of distance is also cm / m / km And unit of displacementment is also cm / m km But we displacement is the length of the shortest path between 2 points...where is distance is the length of the complete path taken..and here acr length should be taken as distance covered and not displacementment but he took arc length as displacement
If you mean like d in dv/dt then its calculus. Its like the formula is dx by dt where x is where the value changes. I'm not great at explaining so js look up basic calculus