Respuesta :

The acceleration is [tex]7.9 m/s^2[/tex]

Explanation:

The acceleration of a body is given by

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

where

a is the acceleration

v is the final velocity

u is the initial velocity

t is the time taken for the velocity to change from u to v

Here we first have to convert the velocities into SI units. Keeping in mind that

1 mile = 1609 m

1 h = 3600 s

We have:

[tex]u=0 mph = 0 m/s[/tex]

[tex]v=60 mph \cdot \frac{1609 m/mi}{3600 s/h}=26.8 m/s[/tex]

And the time interval is

t = 3.4 s

Therefore the acceleration is

[tex]a=\frac{26.8-0}{3.4}=7.9 m/s^2[/tex]

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