Respuesta :

Answer:

The car will travel a distance of 17.45 meters.

Explanation:

Given:

Initial velocity [tex](V_i)[/tex] = 0

Final velocity [tex](V_f)[/tex] = 7.6 m/s

Time taken = 4.6 s

Acceleration = (Final velocity - Initial Velocity )/time

[tex]a=\frac{(V_f-Vi)}{t}= \frac{7.6-0}{4.6}=1.65\ ms^-2[/tex]

We have to calculate total distance traveled by the car.

Let the distance traveled be 'd'

Equation of motion:

[tex]d=V_i(t)+\frac{at^2}{2}[/tex]

Plugging the values.

⇒[tex]d=V_i(t)+\frac{at^2}{2}[/tex]

⇒[tex]d=0+\frac{1.65*(4.6)^2}{2}[/tex]

⇒[tex]d=17.45\ m[/tex]

The car will travel a distance of 17.45 meters for the above case.

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