A $4\mathrm{.}0-$kg object is moving with speed $2\mathrm{.}0\frac{m}{s}.$ A $1\mathrm{.}0-kg$ object is moving with speed $4\mathrm{.}0\frac{m}{s}.$ Both objects encounter the same constant braking force, and are brought to rest. Which object travels the greater distance before stopping?

a$.$ It is impossible to know without knowing how long each force acts.

b$.$ the $1\mathrm{.}0-kg$ object

c$.$ Both objects travel the same distance.

d$.$ the $4\mathrm{.}0-kg$ object