Answer:
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Answer:
distance changing at rate of 3.94 inches/sec
Explanation:
Given data
wall decreasing at a rate = 9 inches per second
ladder L = 152 inches
distance h = 61 inches
to find out
how fast is the distance changing
solution
we know that
h² + b² = L² ..................1
h² + b² = 152²
Apply here derivative w.r.t. time
2h dh/dt + 2b db/dt = 0
h dh/dt + b db/dt = 0
db/dt = - h/b × dh/dt .............2
and
we know
h = 61
so h² + b² = L²
61² + b² = 152²
b² = 19383
so b = 139.223
and we know dh/dt = -9 inch/sec
so from equation 2
db/dt = -61/139.223 (-9)
so
db/dt = 3.94 inches/sec
distance changing at rate of 3.94 inches/sec
In the increasing size order, they are Universe, Andromeda galaxy, solar system, Arcturus, Sun, Earth.
- The universe, cosmos contains all things. It has countless billions of galaxies.
- The Andromeda Galaxy, together with the Triangulum Galaxy and about 30 other smaller galaxies, is the largest galaxy in the Local Group, which also contains the Milky Way.
- A solar system comprises a star and all its planets, asteroids, comets, and other celestial bodies. It is considerably bigger in the universe, cosmos than a star.
- Arcturus is a huge red star in the Northern Hemisphere of the Earth's atmosphere. When the sun has evolved into a red giant, it will look like Arcturus. Arcturus has a diameter that is roughly 25 times greater than the sun and earth.
Learn more about the universe here:
brainly.com/question/8705671
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Answer: D. 6.9 m/s
Explanation: The minimal velocity needed is when we have only vertical motion, then i will think in the problem only in one axis.
