Light, dry snow is called powder. skiing on a powder day is different than skiing on a day when the snow is wet and heavy. when you slow down on dry snow the maximum (negative) acceleration caused by the snow acting on your skis is about two-fifths as much as that of stopping on wet snow.

for a given initial velocity, how does the time td t_d it takes to stop on dry snow differ from the time tw t_w it takes to stop on wet snow?

for a given initial velocity, how does the time \texttip{t_{\rm d}}{t_d}t_d it takes to stop on dry snow differ from the time \texttip{t_{\rm w}}{t_w}t_w it takes to stop on wet snow?

td=0.4tw t_{\rm d} = 0.4 t_{\rm w}
td=tw t_{\rm d} = t_{\rm w}
td=2.5tw

for a given initial velocity, how does the stopping distance xd x_d on dry snow differ from the stopping distance xw x_w on wet snow?

for a given initial velocity, how does the stopping distance \texttip{x_{\rm d}}{x_d}x_d on dry snow differ from the stopping distance \texttip{x_{\rm w}}{x_w}x_w on wet snow?
xd=0.4xw x_{\rm d} = 0.4 x_{\rm w}
xd=xw x_{\rm d} = x_{\rm w}
xd=2.5xw x_{\rm d} = 2.5 x_{\rm w}
t_{\rm d} = 2.5 t_{\rm w}