Respuesta :

Answer:

a = 3.09 m/s^2

Step-by-step explanation:

v^2 = Vo^2 +2ax

v= final velocity

Vo = initial velocity

a = acceleration

x = distance

(-10.9)^2 = (-27.7)^2 + 2(a)(-105)

118.81 = 767.29 - 210a

-210a = -648.48

a = 3.09 m/s^2

[tex]( {v})^{2} - ({v(0)} \: )^{2} = 2 \times a \times ∆x[/tex]

[tex]( { - 10.9})^{2} - ({ - 27.7})^{2} = 2 \times a \times - 105 \\ [/tex]

[tex]118.81 - 767.29 = - 210 \times a[/tex]

[tex] - 648.48 = - 210 \times a[/tex]

Negatives simplified :

[tex]648.48 = 210 \times a[/tex]

Divided both sides by 210 :

[tex]a = \frac{648.48}{210} \\ [/tex]

[tex]a = 3.088 \: \: \frac{m}{ {s}^{2} } \\ [/tex]

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I think it's the correct answer.

Hope helped.

And we're done.

Thanks for watching buddy good luck.

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