Answer:
80
Explanation:
I literally just did this question lol I hope I helped
When a roller coster goes down hill all its stored energy is bieng used as electricity is bieng converted into energy (moving)
To gather more information and details on the soil
Answer:
Position at t= 4 seconds is 144 m
Explanation:
It is given that acceleration, a = 18 t, where t is the time.
We know that Velocity, ![v = \int { a} \, dt](https://tex.z-dn.net/?f=v%20%3D%20%5Cint%20%7B%20a%7D%20%5C%2C%20dt)
Substituting value of a,
Velocity, ![v = \int {18t} \, dt=\frac{18t^2}{2} +c=9t^2+c](https://tex.z-dn.net/?f=v%20%3D%20%5Cint%20%7B18t%7D%20%5C%2C%20dt%3D%5Cfrac%7B18t%5E2%7D%7B2%7D%20%2Bc%3D9t%5E2%2Bc)
We know that at t = 0, v = -12 m/s
So, ![9*0^2+c=-12\\ \\ c=-12m/s](https://tex.z-dn.net/?f=9%2A0%5E2%2Bc%3D-12%5C%5C%20%5C%5C%20c%3D-12m%2Fs)
So velocity, ![v = (9t^2-12)m/s](https://tex.z-dn.net/?f=v%20%3D%20%289t%5E2-12%29m%2Fs)
We also know that displacement, ![x = \int { v} \, dt](https://tex.z-dn.net/?f=x%20%3D%20%5Cint%20%7B%20v%7D%20%5C%2C%20dt)
Substituting value of v,
Displacement, ![x=\int {(9t^2-12)} \, dt=\frac{9t^3}{3} -12t+c=3t^3-12t+c](https://tex.z-dn.net/?f=x%3D%5Cint%20%7B%289t%5E2-12%29%7D%20%5C%2C%20dt%3D%5Cfrac%7B9t%5E3%7D%7B3%7D%20-12t%2Bc%3D3t%5E3-12t%2Bc)
We know that at t = 0, particle is at origin, x =0.
So, ![0=3*0^3-12*0+c\\ \\ c=0](https://tex.z-dn.net/?f=0%3D3%2A0%5E3-12%2A0%2Bc%5C%5C%20%5C%5C%20c%3D0)
Displacement, ![x = 3t^3-12t](https://tex.z-dn.net/?f=x%20%3D%203t%5E3-12t)
At t = 4 seconds
![x = 3*4^3-12*4=192--48=144m](https://tex.z-dn.net/?f=x%20%3D%203%2A4%5E3-12%2A4%3D192--48%3D144m)
Position at t= 4 seconds is 144 m
This is more chemistry. But it is a process called fractional distillation, and it basically separates the long chained hydrocarbons from the short chained hydrocarbons through separation dependant on the boiling point of the crude oil.