001 (part 1 of 2) 10.0 points You are standing at the top of a cliff that has a

Question

001 (part 1 of 2) 10.0 points
You are standing at the top of a cliff that has a stairstep configuration. There is a vertical drop of 3 m at your feet, then a horizontal shelf of 5 m, then another drop of 7 m to the bottom of the canyon, which has a horizontal floor. You kick a 0.22 kg rock, giving it an initial horizontal velocity that barely clears the shelf below.What initial horizontal velocity v will be required to barely clear the edge of the shelf below you? The acceleration of gravity is 9.8 m/s2 . Consider air friction to be negligi- ble.
Answer in units of m/s

Explanation / Answer

Calculate the time it will take vertically to get to the edge of the shelf by using the formula d = 1/2 at^2, where d = 5m and a = g. That is, 5m = 4.9 m/s^2 times t^2, or t = sqrt(5/4.9). To clear the shelf, use d = vt, or v = 8m divided by the above answer.Round up, in order to clear the shelf. This gives you v=7.92 m/s.

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