A $4\mathrm{.}00$ m long, $40\mathrm{.}0$ kg uniform ice raft is initially at rest on a frictionless horizontal

surface. A $60\mathrm{.}0$ kg person is initially standing still on one end. The person then walks to the other end

at a constant speed of $1\mathrm{.}00$ m$/$s with respect to the surface below the raft.

$29.$ As the person is walking, what is the speed of the center of mass of the raft$-$person system?

a$)0$ m$/$s

b$)1$ m$/$s

c$)2$ m$/$s

d$)3$ m$/$s

e$)4$ m$/$s

$30.$ When the person reaches the other end, how far has the raft moved along the surface below?