Respuesta :

[tex] \bf \underline{Given : }[/tex]

  • Initial velocity,u = -2 m/s

  • Final velocity,v = -10 m/s

  • Time taken, t = 4 seconds

[tex] \bf \underline{To \: find \: out : }[/tex]

Find the acceleration ( a ) .

[tex] \bf \underline{Solution : }[/tex]

We know that,

[tex] \sf \: Acceleration = \dfrac{v - u}{t} [/tex]

Substituting the values in the above formula, we get

[tex] \implies \sf \: Acceleration = \dfrac{ - 10 - ( - 2)}{4} [/tex]

[tex] \implies\sf \: Acceleration = \dfrac{ - 10 + 2}{4} [/tex]

[tex] \implies \sf \: Acceleration = \cancel \dfrac{ - 8}{4} [/tex]

[tex] \implies\sf \: Acceleration = - 2 \: ms {}^{ - 2} [/tex]

Hence,the acceleration of a body is -2 m/s².