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8 December, 10:16

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.

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  1. 8 December, 12:21
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    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.
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