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`Question 1.`

From kinematics we have [tex]a=\frac{\mathrm{d}^2s}{\mathrm{d}t^2}[/tex] which means,as I understood it:

*to get the acceleration,we first derive distance with respect to time,then again derive the result of that operation with respect to time*.

If so,wouldn`t be more appropriate to write [tex]a=\frac{\mathrm{d}^2s}{\mathrm{d}t}[/tex] - I mean,what [tex]2[/tex] represents in [tex]\mathrm{d}t^2[/tex]?