The correct answer is this one: "D) significantly more than 100 billion gallons ." Clouds dump around 100 billion gallons of water on rainforests each year. The amount of rain is evaporated from the rivers, lakes and surface of rainforests each year is significantly more than 100 billion gallons<span> </span>
The position of the object at time t =2.0 s is <u>6.4 m.</u>
Velocity vₓ of a body is the rate at which the position x of the object changes with time.
Therefore,
![v_x= \frac{dx}{dt}](https://tex.z-dn.net/?f=v_x%3D%20%5Cfrac%7Bdx%7D%7Bdt%7D)
Write an equation for x.
![dx=v_xdt\\ x=\int v_xdt](https://tex.z-dn.net/?f=dx%3Dv_xdt%5C%5C%20x%3D%5Cint%20v_xdt)
Substitute the equation for vₓ =2t² in the integral.
![x=\int v_xdt\\ =\int2t^2dt\\ =\frac{2t^3}{3} +C](https://tex.z-dn.net/?f=x%3D%5Cint%20v_xdt%5C%5C%20%3D%5Cint2t%5E2dt%5C%5C%20%3D%5Cfrac%7B2t%5E3%7D%7B3%7D%20%2BC)
Here, the constant of integration is C and it is determined by applying initial conditions.
When t =0, x = 1. 1m
![x= \frac{2t^3}{3} +C\\ x_0=1.1\\ x= (\frac{2t^3}{3} +1.1)m](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7B2t%5E3%7D%7B3%7D%20%2BC%5C%5C%20x_0%3D1.1%5C%5C%20x%3D%20%28%5Cfrac%7B2t%5E3%7D%7B3%7D%20%2B1.1%29m)
Substitute 2.0s for t.
![x= (\frac{2t^3}{3} +1.1)m\\ =\frac{2(2.0)^3}{3} +1.1\\ =6.43 m](https://tex.z-dn.net/?f=x%3D%20%28%5Cfrac%7B2t%5E3%7D%7B3%7D%20%2B1.1%29m%5C%5C%20%3D%5Cfrac%7B2%282.0%29%5E3%7D%7B3%7D%20%2B1.1%5C%5C%20%3D6.43%20m)
The position of the particle at t =2.0 s is <u>6.4m</u>
Answer:
no one ever amswers my questions
Answer:
Explanation:
A closed system can exchange energy but not matter, with its surroundings. An isolated system cannot exchange any heat, work, or matter with the surroundings, while an open system can exchange energy and matter.
Hope this helped you!