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You are standing at the top of a cliff that has a stairstep configuration. There

ID: 1972864 • Letter: Y

Question

You are standing at the top of a cliff that has a stairstep configuration. There is a vertical drop of 4 m at your feet, then a horizontal shelf of 6 m, then another drop of 6 m to the bottom of the canyon, which has a horizontal floor. You kick a 0.31 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

initial vertical velocity is 0,

time for the cannon to drop by 5 m= (2*5/9.8)

= 1.01 s

it has to clear a horizontal distance of 8m,

so, v= 8/1.01

v=7.920 m/s

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