A solid sphere with a diameter of $0\mathrm{.}16$m is released from rest; it then rolls without slipping down a ramp, dropping through a vertical height of h$1=0\mathrm{.}65$m$.$ The ball leaves the bottom of the ramp, which is h$2=1\mathrm{.}05$m above the floor, moving horizontally.

$($a$)$ Through what horizontal distance d does the ball move before landing?

m

$($b$)$ How many revolutions does the ball make during its fall?

rev

$($c$)$ If the ramp were to be made frictionless, how would the distance d change? Choose one answer only.

increasestay the same$$decreasecould be any of these