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In summary: And you can use the constant acceleration equations when the acceleration is variable, but you have to use integration. You just have to use calculus, that's all.In summary, the conversation discusses the use and understanding of formulas in science and mathematics. The speaker expresses their eagerness to learn about formulas and their confusion when faced with complex equations. The conversation also delves into the role of calculus in understanding and manipulating formulas, as well as the need for strong fundamentals and practice in order to effectively use formulas. The conversation concludes with a clarification on the use of kinematic equations when acceleration is varying and the importance of using calculus to solve such equations.

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It is also invaluable to be able to represent a formula as a graph to better demonstrate its dependency on a particular variable. These are skills you acquire only through practice, practice, and more practice.

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@AdityaDev could you explain dx/dt = v? Is this the same as "rate of change" change in x over change in y equals v, velocity?

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AdityaDev said:You can learn them but in certain situation like if acceleration is a function of time you can't use your kinematics equations.

This statement doesn't make any sense. Which kinematic equations can't you use if acceleration is a function of time? The general equations of kinematics were developed using time as the independent variable.

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dx means small change in displacement. dt means small change in time.hence dx/dt represents small change in displacement for the given small time interval.Niaboc67 said:

@AdityaDev could you explain dx/dt = v? Is this the same as "rate of change" change in x over change in y equals v, velocity?

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Oh no... You can't use the kinematic equation: V=u+at, s=ut+0.5at^2 when acceleration is varying. This is a basic assumption. Eg. a(t)=t^2+c is the acceleration at any time t. Now if you apply s=ut+... You will obviously get wrong displacement. Hence we use dv/dt = a(t)... Integrate and find v(t).SteamKing said:This statement doesn't make any sense. Which kinematic equations can't you use if acceleration is a function of time? The general equations of kinematics were developed using time as the independent variable.

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Formulas are mathematical expressions that represent relationships between different variables or quantities. They are used to calculate or solve for unknown values in a given situation.

To understand formulas, it is important to first have a basic understanding of mathematical concepts such as algebra and geometry. Then, you can break down a formula into its individual components and analyze how each variable or term contributes to the overall calculation.

Yes, there are many different types of formulas used in various fields such as physics, chemistry, and economics. Some formulas are simple and only involve basic mathematical operations, while others are more complex and may require knowledge of advanced mathematical concepts.

While it can be helpful to have some common formulas memorized, it is more important to understand the underlying concepts and principles behind them. This will allow you to apply the formulas to different situations and also to derive them if needed.

Formulas are a crucial tool in the scientific method and can be used to make predictions, analyze data, and support conclusions. It is important to carefully select the appropriate formula for your specific research or experiment and to ensure that all variables and assumptions are accounted for.

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