Is calculus helpful in understanding physics

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SUMMARY

Calculus is essential for understanding physics, particularly in algebra-based physics courses. Key equations, such as V=Vo+a*t and X=Xo+Vo*t +1/2*a*t^2, are derived using calculus principles. The relationship between acceleration, velocity, and position is fundamentally expressed through derivatives, making calculus necessary for solving complex problems, including those involving air resistance. High school curricula often omit calculus to simplify physics education, but it is a critical component in university-level physics.

PREREQUISITES
  • Understanding of basic algebraic equations
  • Familiarity with fundamental physics concepts such as velocity and acceleration
  • Knowledge of derivatives and their applications
  • Basic understanding of motion and forces
NEXT STEPS
  • Study calculus fundamentals, focusing on derivatives and integrals
  • Explore classical mechanics concepts, particularly motion equations
  • Learn to apply calculus to real-world physics problems, such as projectile motion
  • Investigate how calculus is used in advanced physics topics, including electromagnetism
USEFUL FOR

Students in algebra-based physics courses, aspiring physics majors, educators teaching physics, and anyone seeking to deepen their understanding of the mathematical foundations of physics.

potato123
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Im taking algebra based physics and i am having a hard time trying to understand some concepts or equations and i heard that calculus is very helpful
 
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What don't you understand for example?
 
micromass said:
what don't you understand

I don't really understand how some equations were created or why they work
 
You really need to be a lot more detailed.
 
What do you expect as an answer? Whether calculus is helpful in physics? Yes.
 
Calculus is more than helpful, is needed, one of the most basic physics equations that are seen in school come from derivation, such as V=Vo+a*t is a derived equation from
X=Xo+Vo*t +1/2*a*t^2.
Calculus works at a more fundamental level than the equations stated above, for every kind of classical motion, it is true that the acceleration is the derivative of the velocity, and the double derivative of the position, so it let's you solve more complicated problems, such as modelling air resistance problems for a falling object.
But everything is taught in due time, most (if not all) high-schools "rip" calculus out of physics so it doesn't become a math course, they give you a set of equation to work with in very specific cases, and you work them out as you go.
After this quite extensive answer, yes, calculus is used in every branch of physics, and if you are planning to get a degree in physics, it will be taught in university.
 
potato123 said:
Im taking algebra based physics and i am having a hard time trying to understand some concepts or equations and i heard that calculus is very helpful

As has been stated already, I will repeat the clear and unambigous answer to your question in the topic: Calculus is NECESSARY (not just "helpful) in understanding physics.

Have we answered your question?

Zz.
 
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