In the movie Star Wars: The Empire Strikes Back, after being told that Darth Vader is his father, Luke Skywalker falls from a ledge in Cloud City $($not on the Earth, so the magnitude of the free$-$fall acceleration is not necessarily $9\mathrm{.}81$ m$/$s$\mathrm{²}).$ Suppose he falls a distance of $57\mathrm{.}0$ m in $3\mathrm{.}5$ s$.$ Assuming he starts from rest, answer the following questions. $($The positive y direction is upward. Indicate the direction with the sign of your answer.$)$

$($a$)$ What is Luke's velocity $3\mathrm{.}5$ s after he starts to fall?

  

$($b$)$ What is the constant acceleration due to gravity, experienced by Luke, on Cloud City? Use an upward$-$pointing y axis. 

 

 

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