Question

How does calculus relate to physics?

Answer 1

Hint : Here in this question, we have to explain how calculus relates to physics means we have to discuss the relation between calculus and physics, advantages, applications and uses of calculus in the subject of physics and examples are explained in the below section.

Complete step by step solution:
Calculus was developed differently by Sir Isaac Newton and Gottfried Leibniz in order to establish a mathematical framework to study the change of physical quantities. The rate of change of something over time is nothing but its derivative with respect to time, the basic concept for differential calculus.
Calculus analyses things that change, and physics is much concerned with changes. For physics, you'll need at least some of the simplest and most important concepts from calculus. Fortunately, one can do a lot of introductory physics with just a few of the basic techniques.
All branches of Physics- from Newtonian to Superstring- have a lot to do with the CHANGE OF QUANTITIES (like velocity, fields, rotations etc.). That is where a fundamental understanding of calculus comes into play.
Calculus and Physics are related in so many ways. Take the concept of motion for instance, speed is the rate of change of distance with time, velocity is the rate of change of displacement with time while acceleration is the rate of change of velocity with time. Mathematically, they can be represented as $\dfrac{{ds}}{{dt}}$, $\dfrac{{dx}}{{dt}}$ and $\dfrac{{dv}}{{dt}}$ respectively. Other areas you can find Calculus in relation to Physics is in Electromagnetism (Maxwell equation)
Hope this answer helped highlight the importance of Calculus in Physics.

Note : Here the question is a descriptive type of the question. The maths is found in almost every subject. Calculus is a part of mathematics. The above solution has the in detailed explanation about the calculus related to physics. The explanation is in general about the topic.