Newtonian Mechanics

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$x (t) = 0 \frac{d x}{d t} = 0 \frac{d^{2} x}{d t^{2}} = 0$

$x (t) = 5 t \frac{d x}{d t} = 5 \frac{d^{2} x}{d t^{2}} = 0$

$s (t) = t^{2} \frac{d s}{d x} = 2 t \frac{d^{2} s}{d x^{2}} = 2$