$($a$)$ A child slides down a water slide at an amusement park from an initial height h$.$ The slide can be considered frictionless because of the water flowing down it$.$ Can the equation for conservation of mechanical energy be used on the child?

YesNo$$

$($b$)$ Is the mass of the child a factor in determining his speed at the bottom of the slide?

YesNo$$

$($c$)$ The child drops straight down rather than following the curved ramp of the slide. In which case will he be traveling faster at ground level?

following the curved rampdropping straight down$$same speed in either case

$($d$)$ If friction is present, how would the conservation$-$of$-$energy equation be modified?

This answer has not been graded yet.

$($e$)$ Find the maximum speed of the child when the slide is frictionless if the initial height of the slide is $11\mathrm{.}2$ m$.($Assume the child is initially at rest.$)$

m$/$s