Answer:
S = V × t
Explanation:
first convert 36km/h to m/s
36km/h=36*5/18=180/18=10m/s
d =s*t
=10*10=100m
They would have the magnetic parts of the rocks oriented differently. This leaves a trace that allow scientists to find out how often this actually happens (as far as I remember, it's on average once in 800 000 years)
Answer:
What is the difference between the crust and lithosphere? The crust (whether continental or oceanic) is the thin layer of distinctive chemical composition overlying the ultramafic upper mantle. ... The lithosphere is the rigid outer layer of the Earth required by plate tectonic theory.
Explanation:
Hope this helps!
Answer:
The rate of change of the area when the bottom of the ladder (denoted by
) is at 36 ft. from the wall is the following:
![\frac{dA}{dt}|_{b=36}=-571.2\, ft^2/s](https://tex.z-dn.net/?f=%5Cfrac%7BdA%7D%7Bdt%7D%7C_%7Bb%3D36%7D%3D-571.2%5C%2C%20ft%5E2%2Fs)
Explanation:
The Area of the triangle is given by
where
(by using the Pythagoras' Theorem) and
is the length of the base of the triangle or the distance between the bottom of the ladder and the wall.
The area is then
![A=\sqrt{l^2-b^2}b](https://tex.z-dn.net/?f=A%3D%5Csqrt%7Bl%5E2-b%5E2%7Db)
The rate of change of the area is given by its time derivative
![\frac{dA}{dt}=\frac{d}{dt}\left(\sqrt{l^2-b^2}\cdot b\right)](https://tex.z-dn.net/?f=%5Cfrac%7BdA%7D%7Bdt%7D%3D%5Cfrac%7Bd%7D%7Bdt%7D%5Cleft%28%5Csqrt%7Bl%5E2-b%5E2%7D%5Ccdot%20b%5Cright%29)
![\implies \frac{dA}{dt}=\frac{d}{dt}\left(\sqrt{l^2-b^2}\right)\cdot b+\frac{db}{dt}\cdot\sqrt{l^2-b^2}](https://tex.z-dn.net/?f=%5Cimplies%20%5Cfrac%7BdA%7D%7Bdt%7D%3D%5Cfrac%7Bd%7D%7Bdt%7D%5Cleft%28%5Csqrt%7Bl%5E2-b%5E2%7D%5Cright%29%5Ccdot%20b%2B%5Cfrac%7Bdb%7D%7Bdt%7D%5Ccdot%5Csqrt%7Bl%5E2-b%5E2%7D)
Product rule
Chain rule
![\implies\frac{dA}{dt}=-\frac{1}{\sqrt{l^2-b^2}}\cdot b^2\cdot \frac{db}{dt}+\sqrt{l^2-b^2}}\cdot \frac{db}{dt}](https://tex.z-dn.net/?f=%5Cimplies%5Cfrac%7BdA%7D%7Bdt%7D%3D-%5Cfrac%7B1%7D%7B%5Csqrt%7Bl%5E2-b%5E2%7D%7D%5Ccdot%20b%5E2%5Ccdot%20%5Cfrac%7Bdb%7D%7Bdt%7D%2B%5Csqrt%7Bl%5E2-b%5E2%7D%7D%5Ccdot%20%5Cfrac%7Bdb%7D%7Bdt%7D)
![\implies\frac{dA}{dt}=\frac{db}{dt}\left(-\frac{1}{\sqrt{l^2-b^2}}\cdot b^2+\sqrt{l^2-b^2}}\right)](https://tex.z-dn.net/?f=%5Cimplies%5Cfrac%7BdA%7D%7Bdt%7D%3D%5Cfrac%7Bdb%7D%7Bdt%7D%5Cleft%28-%5Cfrac%7B1%7D%7B%5Csqrt%7Bl%5E2-b%5E2%7D%7D%5Ccdot%20b%5E2%2B%5Csqrt%7Bl%5E2-b%5E2%7D%7D%5Cright%29)
In here we can identify
,
and
.
The result is then
![\frac{dA}{dt}=8\left(-\frac{1}{\sqrt{39^2-36^2}}\cdot 36^2+\sqrt{39^2-36^2}}\right)=-571.2\, ft^2/s](https://tex.z-dn.net/?f=%5Cfrac%7BdA%7D%7Bdt%7D%3D8%5Cleft%28-%5Cfrac%7B1%7D%7B%5Csqrt%7B39%5E2-36%5E2%7D%7D%5Ccdot%2036%5E2%2B%5Csqrt%7B39%5E2-36%5E2%7D%7D%5Cright%29%3D-571.2%5C%2C%20ft%5E2%2Fs)
Explanation:
The water cycle basically involves five steps:
- evaporation and transpiration ⇄
- condensation, ⇄
- precipitation, ⇄
- runoff, ⇄
- infiltration ⇄
So when a <u>thunderstorm </u>occurs it <em>helps in completing the precipitation process </em>by enabling the release of water vapor stored up in the atmosphere to fall on the ground as rain.
After this, the water <em>runoffs </em><em>to the surface of the ground, on plants, into rocks, rivers, and lakes.</em>
Next, the <em>Infiltration process</em> enables the water on the ground surface to enter the soil some of which becomes groundwater.
The cycle begins again as the<em> </em><em>evaporation and transpiration</em> <em>process </em>begins, where the groundwater as a result of heat from the sun is taken back into the atmosphere, while water in plants by means of transpiration goes back <em>into the atmosphere</em>.
It then <em>condenses </em>and falls back as precipitation again.