A carton is given a push across a horizontal surface. The carton has a mass m$,$ the push gives it an initial speed of $1\mathrm{.}90$ m$/$s$,$ and the coefficient of kinetic friction between the carton and the surface is $0\mathrm{.}150.$

$($a$)$

Use energy considerations to find the distance $($in m$)$ the carton moves before it stops.

m

$($b$)$

What If$?$ Determine the stopping distance $($in m$)$ for the carton if its initial speed is doubled to $3\mathrm{.}80$ m$/$s$.$

m