Answer:
v_max = (1/6)e^-1 a
Explanation:
You have the following equation for the instantaneous speed of a particle:
(1)
To find the expression for the maximum speed in terms of the acceleration "a", you first derivative v(t) respect to time t:
![\frac{dv(t)}{dt}=\frac{d}{dt}[ate^{-6t}]=a[(1)e^{-6t}+t(e^{-6t}(-6))]](https://tex.z-dn.net/?f=%5Cfrac%7Bdv%28t%29%7D%7Bdt%7D%3D%5Cfrac%7Bd%7D%7Bdt%7D%5Bate%5E%7B-6t%7D%5D%3Da%5B%281%29e%5E%7B-6t%7D%2Bt%28e%5E%7B-6t%7D%28-6%29%29%5D)
(2)
where you have use the derivative of a product.
Next, you equal the expression (2) to zero in order to calculate t:
![a[(1)e^{-6t}-6te^{-6t}]=0\\\\1-6t=0\\\\t=\frac{1}{6}](https://tex.z-dn.net/?f=a%5B%281%29e%5E%7B-6t%7D-6te%5E%7B-6t%7D%5D%3D0%5C%5C%5C%5C1-6t%3D0%5C%5C%5C%5Ct%3D%5Cfrac%7B1%7D%7B6%7D)
For t = 1/6 you obtain the maximum speed.
Then, you replace that value of t in the expression (1):
hence, the maximum speed is v_max = ((1/6)e^-1)a
Testable: Able to be tested or tried.
<em>ex. An example of a testable hypothesis is, Students who attend class more have higher grades, while those who skip have lower grades. </em>
Data: Data is the items of information that represent our analyze, or our findings in an experiment.
<em>ex. An example of Data, is the results of information collected for a research paper.</em>
Evidence: Evidence is information that helps show whether a proposed idea is valid.
<em>ex. We can use evidence to help support our point and strengthen our findings with reasoning.</em>
Theory: Theory is an explanation of something in the natural world that can be tested and gives us the same results each time. A proven hypothesis.
<em>ex. Examples of scientific theories are gravitation, evolution, and plate tectonics. </em>
Hypothesis: A hypothesis is a theory or question that can be tested through study and experimentation. It has more reasoning to it than a simple guess, but not enough information to be a theory.
<em>ex. An example of a possible hypothesis is, If we play music while working on homework, the participant's perfomance will increase.</em>
If velocity is constant, then the object is moving
at constant speed in a straight line.
Of biogeochemical cycles
Because certain biogeochemical cycles take place to lessen these gases from forming since they are not beneficial for life if too much.
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Answer:
Bile helps in the digestion of fats
