Question

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.

Answer 1

Answer: 0.27 m

Explanation:

The plate slides off the counter with the speed , u = 0.61 m/s in the horizontal direction.

The height of the counter is, y = 0.93 m

The initial speed in the vertical direction is 0 m/s. The plate falls under gravity in the vertical direction.

The time taken for plate to reach the surface is:

y = 0.5 gt²

⇒ t = √0.93 m / √4.9 m/s² = 0.44 s

In the same time, the plate would cover horizontal distance of:

x = u t = 0.61 m/s × 0.44 s = 0.27 m

Thus, the plate falls 0.27 m away from the base of the counter.