In a saloon, a cowboy slides an empty beer mug down the counter for a refill. The height of the counter is 1.14 m. The mug slides off the counter and hits the floor 1.55 m from the base of the counter. (a) With what speed did the mug leave the counter? 3.2135 m/s Correct: Your answer is correct. (b) What is the direction of the mug's velocity just before the mug hits the ground?

Explanation:

Given

Height of counter

Mug lands at a distance of

Mug is released with some horizontal velocity let's say u

Consider vertical motion and using

where  

y=displacement  in vertical direction

u=initial velocity

a=acceleration(g)

t=time

For mug to travel 1.55 m in 0.482 s velocity is given by

vertical velocity just before hitting

Horizontal velocity is

where is the angle which net velocity makes with horizontal direction in clockwise sense

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