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## Sagot :

[tex] v^{2} = (v_0)^{2} + 2\cdot a \cdot \Deltax [/tex]

[tex] 2\cdot a \cdot \Delta x = v^{2} - (v_0)^{2} [/tex]

[tex] a = \frac{v^{2} - (v_0)^{2}}{2\cdot \Delta x} [/tex]

Before final operation we have to assume that x is not equal to 0. :)

[tex]V^2=V_0^2+2a\Delta x\\
2a\Delta x=V^2-V_0^2\\
a=\frac{V^2-V_0^2}{2\Delta x}
[/tex]