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A certain elevator cab has a total run of $207m$ and a maximum speed is $309\frac{m}{m}in,$ and it accelerates from rest and then back to rest at $1\mathrm{.}19\frac{m}{s^2}.($a$)$ How far does the cab move while accelerating to full speed from rest? $($b$)$ How long does it take to make the nonstop $207m$ run, starting and ending at rest?

$($a$)$ Number Units

$($b$)$ Number Units

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