In a local bar, a customer slides an empty beer mug down the counter for a refill. The height of the counter is $1\mathrm{.}28$ m$.$ The mug slides off the counter and strikes the floor $1\mathrm{.}60$ m from the base of the counter.

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

m$/$s

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

$($below the horizontal$)$