Tatiana, a $60 \text{ }kg$ figure skater, starts from rest and accelerates towards her partner. Naeem, whose mass is $90 \text{ }kg$, is standing ready to catch Tatiana.

Tatiana's acceleration, in $m/s^2$, is given by $ a=\cfrac{1}{5} t^2-\cfrac{1}{2}t+1$.

Determine Naeem and Tatiana's speed, right after he catches her, at $t=5s$.