You slide a breakfast plate along the counter toward your friend, but your friend misses it and the plate slides off the edge of the counter. the counter is 0.93 m high and the plate slides off at 0.61 m/s. how far away from the base of the counter does the plate land? round your answer to the nearest 0.01. do not add units.

Assuming you mean "x" to be "horizontal" and "y" to be "vertical", the 1.20 m is y.

​The initial vertical velocity is 0.

How long does it take for something to fall 1.20 m from rest? That's the time the mug is in the air.

The initial vertical velocity is 0. How long does it take for something to fall 1.20 m from rest? That's the time the mug is in the air.

The initial horizontal velocity is 1.50 m/s. Ignoring air resistance, that's going to be constant. Once you know how long the mug is in the air, multiply that time by 1.50 m/s and you've got the horizontal distance from the end of the bar, and you're done.