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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