Respuesta :

The average acceleration of the car is 3.31 m/s²

Given,

The initial velocity of the car, u=0 m/s

The final velocity of the car, v=75.0 m/s

The time it takes for the car to accelerate to the given rate, t=6.3 s

The final velocity of the car in m/s is,

[tex]\begin{gathered} v=75\times\frac{5}{18} \\ =20.83\text{ m/s} \end{gathered}[/tex]

The acceleration of an object is the time rate of change of its velocity.

Thus the average acceleration of the car is given by,

[tex]a=\frac{v-u}{t}[/tex]

On substituting the known values,

[tex]\begin{gathered} a=\frac{20.83-0}{6.3} \\ =3.31\text{ m/s}^2 \end{gathered}[/tex]

Thus the average acceleration of the car is 3.31 m/s²