Na local coffee shop, a customer slides her empty nitro cold brew downthe counter for a refill. the barista is distracted, and the coffee cup slides offthe counter, initially moving horizontally. the cup travels horizontal distance2mbefore hitting theground.(a)if the height of the counter is4/5m, at what speed was the cup traveling when it leftthe counter

5 m/s

Explanation:

Horizontal distance traveled, x = 2 m

vertical distance traveled, y =  4/5 m

Let the speed of cup as it leaves the counter is v and it takes time t to hit the ground.

Use second equation of motion in vertical direction

Here acceleration in vertical direction is 9.8 m/s^2.

So,

t = 0.4 second

Now in horizontal direction the acceleration in zero.

Horizontal distance = horizontal velocity x time

x = v t

2 = v (0.4)

v = 5 m/s

Thus, the horizontal velocity of cup as it leaves the counter is 5 m/s.