When do we use Differential Equations in Physics?

In my physics guide, I break down why we use differential equations in physics to represent the relationships between rates of change and other variables.

An object that’s in free fall will accelerate to the ground at a constant rate. Therefore, its net acceleration has the form: a=-g (where g=9.8 m/s). Since accelerate describes the rate of change of the object’s velocity—and velocity is the rate of change of its position—we can express the acceleration as the second derivative of its position function x(t): a=x’’(t)

Which gives us the following equation: x’’(t)=-g. This is a second-ordered differential equation which expresses how the rate of change in the object’s position is related to gravity.

You can check out the full guide here which includes an entire section on calculus and its applications in physics.

I’ve also released a Bundle, priced at a 20% discount, which combines the Physics Guide and the ‘Algebra for STEM’ guide into ONE product by compressing all of the relevant algebra used in physics—ranging from prealgebra through precalculus—into one product with physics! Make sure to purchase the complete bundle to master the foundations of physics!

Down below, you can read about each product separately!

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