Answer :

skyluke89

The final speed of the elevator is 14.0 m/s

Explanation:

The motion of the elevator is a uniformly accelerated motion, so we can use the suvat equation:

[tex]v=u+at[/tex]

where

v is the final speed

u is the initial speed

a is the acceleration

t is the time

In this problem,

u = 0 (the initial speed (the elevator starts from rest)

[tex]a=3.5 m/s^2[/tex] is the acceleration of the elevator

t = 4.0 s is the time

Substituting, we find the final speed:

[tex]v=0+(3.5)(4.0)=14.0 m/s[/tex]

Learn more about accelerated motion:

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