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

Question

You are standing at the top of a cliff that has
a stairstep configuration. There is a vertical
drop of 5 m at your feet, then a horizontal
shelf of 8 m, then another drop of 5 m to the
bottom of the canyon, which has a horizontal
floor. You kick a 0.97 kg rock, giving it an
initial horizontal velocity that barely clears
the shelf below.
8 m
x
10 m
v
5 m
5 m
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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