Hello!!
For calculate the aceleration of the vehicle let's applicate formula:
[tex]\boxed{V=V_i + a*t}[/tex]
[tex]\textbf{Being:}[/tex]
[tex]\sqrt{}[/tex] V = Final velocity = 40 m/s
[tex]\sqrt{}[/tex] Vi = Initial velocity = 20 m/s
[tex]\sqrt{}[/tex] a = Aceleration = ?
[tex]\sqrt{}[/tex] t = Time = 3,8 su
⇒ [tex]\text{Then let's \textbf{replace it according} we information:}[/tex]
[tex]40 \ m / s = 20 \ m / s + a * 3,8 s[/tex]
⇒ [tex]\text{We clear the "a"}[/tex]
[tex]a = \dfrac{40 \ m /s - 20 \ m / s }{3,8 \ s}[/tex]
⇒ [tex]\text{Let's resolve it: }[/tex]
[tex]a = 5,263 \ m / s[/tex]
[tex]\textbf{Result:}\\\text{The aceleration is of \textbf{5,263 m/s}}^{2}[/tex]
