Question

In a local bar, a customer slides an empty beer mug down the counter for a refill. The height of the counter is 1.18 m. The mug slides off the counter and strikes the floor 1.20 m from the base of the counter.

With what velocity did the mug leave the counter?
What was the direction of the mug's velocity just before it hit the floor?

Answer 1

At first we have to find the time index, but you have to remember that time does not depend on mug's horizontal velocity. In this case : D=1/2∗g∗t2=1.18 where the in. velocity is 1.2/t.
Of course the mug velocity will be the same as previous one :
v=g*t
Then we have θ=tan−1(vy/vx) so that you can easily find what you need using trigonometry.