Carlos and Shannon are sledding down a snow-covered slope that is angled at 12° below the horizontal. When sliding on snow, Carlos's sled has a coefficient of friction μ_k = 0.10; Shannon has a “supersled” with μ_k = 0.010. Carlos takes off down the slope starting from rest. When Carlos is 5.0 m from the starting point, Shannon starts down the slope from rest. 

(a) How far have they traveled when Shannon catches up to Carlos? 

(b) How fast is Shannon moving with respect to Carlos as she passes by?