In a local bar, a customer slides an empty beer mug down the counter for a refill. The height of the counter is $1\mathrm{.}36m.$ The mug slides off the counter and strikes the floor $0\mathrm{.}80m$ from the base of the counter.

$($a$)$ With what velocity did the mug leave the counter?

$\frac{m}{s}$

$($b$)$ What was the difection of the mug's velocity just before it hit the floor?

$($below the horizontal$)$