Problem $3$:

In a local bar, a customer slides an empty beer mug down the counter for a refill. The height of the counter is $1\mathrm{.}22$ m $.$ Suppose that the initial velocity of this mug $($when it leaves the counter$)$ points to the horizontal direction. And the magnitude of this initial velocity is $2\mathrm{.}81\frac{m}{s}.$ The mug slides off the counter and strikes the floor.

What was the direction of the mug's velocity just before it hit the floor?

In other words, find fhe reference angle for the mug's velocity just before it strikes the floor.

$($A$)15\mathrm{.}0$ degrees

$($B$)23\mathrm{.}8$ degrees

$($C$)45\mathrm{.}6$ degrees

$($D$)52\mathrm{.}5$ degrees

$($E$)60\mathrm{.}2$ degrees

$3$