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Sagot :
[tex]\\ \rm\hookrightarrow v={\displaystyle{\int}}sdt[/tex]
Now
[tex]\\ \rm\hookrightarrow v={\displaystyle{\int}^5_2}10t-5t+6[/tex]
[tex]\\ \rm\hookrightarrow v={\displaystyle{\int}^5_2}5t+6[/tex]
[tex]\boxed{\sf {\displaystyle{\int}}x^n dx=\dfrac{x^{n+1}}{n+1}}[/tex]
[tex]\\ \rm\hookrightarrow v=\left[\dfrac{5t^2}{2}+6t\right]^5_2[/tex]
[tex]\\ \rm\hookrightarrow v=\dfrac{5\left\{5)^2-(2)^2\right\}}{2}+6(5-2)[/tex]
[tex]\\ \rm\hookrightarrow v=\dfrac{5(25-4)}{2}+6(3)[/tex]
[tex]\\ \rm\hookrightarrow v=\dfrac{5(21)}{2}+18[/tex]
[tex]\\ \rm\hookrightarrow v=\dfrac{105}{2}+18[/tex]
[tex]\\ \rm\hookrightarrow v=52.5+18[/tex]
[tex]\\ \rm\hookrightarrow v=70.5m/s[/tex]
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