Eighteen you need adult advisory
Answer:
The velocity is given as -B sin(ωt) while the acceleration is given as -C cos(ωt).
Explanation:
As the complete question is not given here, a search for the question is made and the complete question is as given in the attached image.
From the given data the equation of displacement x as it varies with time is given as
![x=A cos(\omega t)](https://tex.z-dn.net/?f=x%3DA%20cos%28%5Comega%20t%29)
Here
- A is the distance of the point at which it is released from the equilibrium position
- ω is the characteristic of the system measured in rad/sec.
Now in order to find the velocity, it is given as
![v_x=\frac{dx}{dt}\\v_x=\frac{d(Acos(\omega t))}{dt}\\v_x=A\frac{d(cos(\omega t))}{dt}\\v_x=A\frac{-sin(\omega t)d(\omega t)}{dt}\\v_x=-Asin(\omega t)\omega\\](https://tex.z-dn.net/?f=v_x%3D%5Cfrac%7Bdx%7D%7Bdt%7D%5C%5Cv_x%3D%5Cfrac%7Bd%28Acos%28%5Comega%20t%29%29%7D%7Bdt%7D%5C%5Cv_x%3DA%5Cfrac%7Bd%28cos%28%5Comega%20t%29%29%7D%7Bdt%7D%5C%5Cv_x%3DA%5Cfrac%7B-sin%28%5Comega%20t%29d%28%5Comega%20t%29%7D%7Bdt%7D%5C%5Cv_x%3D-Asin%28%5Comega%20t%29%5Comega%5C%5C)
Suppose that
![B=A\omega](https://tex.z-dn.net/?f=B%3DA%5Comega)
So the equation becomes
![v_x=-Asin(\omega t)\omega\\v_x=-Bsin(\omega t)\\](https://tex.z-dn.net/?f=v_x%3D-Asin%28%5Comega%20t%29%5Comega%5C%5Cv_x%3D-Bsin%28%5Comega%20t%29%5C%5C)
So the velocity is given as -B sin(ωt).
Now the acceleration is given as
![a_x=\frac{d(v_x)}{dt}\\a_x=\frac{d(-Bsin(\omega t))}{dt}\\a_x=-B\frac{d(sin(\omega t))}{dt}\\a_x=-B\frac{cos(\omega t)d(\omega t)}{dt}\\a_x=-Bcos(\omega t)\omega\\](https://tex.z-dn.net/?f=a_x%3D%5Cfrac%7Bd%28v_x%29%7D%7Bdt%7D%5C%5Ca_x%3D%5Cfrac%7Bd%28-Bsin%28%5Comega%20t%29%29%7D%7Bdt%7D%5C%5Ca_x%3D-B%5Cfrac%7Bd%28sin%28%5Comega%20t%29%29%7D%7Bdt%7D%5C%5Ca_x%3D-B%5Cfrac%7Bcos%28%5Comega%20t%29d%28%5Comega%20t%29%7D%7Bdt%7D%5C%5Ca_x%3D-Bcos%28%5Comega%20t%29%5Comega%5C%5C)
Suppose that
![C=B\omega](https://tex.z-dn.net/?f=C%3DB%5Comega)
So the equation becomes
![a_x=-Bcos(\omega t)\omega\\a_x=-Ccos(\omega t)\\](https://tex.z-dn.net/?f=a_x%3D-Bcos%28%5Comega%20t%29%5Comega%5C%5Ca_x%3D-Ccos%28%5Comega%20t%29%5C%5C)
the acceleration is given as -C cos(ωt).
Answer:
The ancient Egyptians would come to invent mathematics, geometry, surveying, metallurgy, astronomy, accounting, writing, paper, medicine, the ramp, the lever, the plow, and mills for grinding grain
I hope this little information helps.
Answer:
Limited governments are constitutional, giving the citizens their rights and freedoms, but unlimited have no trial. Everyone , including the leaders and authorities, must always obey the laws they have enforced in democracies, while a leader or group has total control over locations with unlimited governments.
Explanation: