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? asked in Science & MathematicsMathematics · 1 decade ago

Usage of Integral and Differentials?

I have a question here, we know that

Velocity = dS/dT, where S = distance and T = time

Acceleration = dV/dT, where V= Velocity and T=time

But since velocity = S/T and acceleration =V/T, why can't we substitute acceleration = (S/T)/T = S/T^2?

Can anyone explain how differential works in the physics formulas, like one topic on Hydrostatics, it is said that dF = rho*g*y dy. While i know that F = pressure * area, why can't we use the F = P*A formula?

2 Answers

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  • Logan
    Lv 5
    1 decade ago
    Favorite Answer

    I think they already do. Velocity can be measured in m/s and acceleration can be measured in m/(s^2).

    But derivatives are notated differently. The derivative of ds/dt with respect to t is ((d^2)s)/(dt)^2.

  • ?
    Lv 4
    4 years ago

    nicely, this is a tough question. The observe calculus merely potential "calculation" so it quite is utilized for extra advantageous than what maximum folk often advise by potential of it. There are 2 styles of calculus: differential and fundamental. Differential facilitates us to income small changes to three subject or some assets. If we can describe some thing with an equation, then we can use differential calculus to discover the factors of the equation the place the quantity changes path or reaches a minimum or maximum. to place it in a nut shell: it facilitates us to discover minimum and maximum values of anthing which would be defined with an equation. occasion: A street runs N-S. Bob lives 2 miles up the line from Sue. Bob's driveway is 0.37 miles long and runs due E of the line. Sue's driveway is a million mile long and runs NNW from the line. they are having an affair (could desire to incorporate intercourse in any tale, lol). Bob can stroll to Sues homestead at 2.7 mph off-street, and 3.2 mph on street or driveway. He may additionally motorcycle on street or driveway at 20 mph. what's the quickest way for Bob to get to Sue's homestead while her husband is away? fundamental calculus is the different of differential, In differential we divide up an equation into little products, fundamental calculus is related to the sum of each and all the little products of an equation. occasion. In a bee hive daily fifty 3 bees are born for each hundred bees that stay there & 3 bees die each and every hour for the period of the day and a million according to hour at night. If a hive starts with 5057 bees on the Spring Equiox, what number will it have on the fall Equinox? (Use solar upward push and solar set tables to calculate length of days and nights). The examples I gave above are exceedingly perplexing, yet quite neither calculus is that perplexing. Calculus is used *very virtually universally* to gather (interior the scholars concepts) each and all the algebra, geometry, data, and trigionometry you *could* have discovered in grade college. And each and all the drilling makes maximum scholars somewhat solid at fixing tale issues related to all those issues. fixing each and all the tale issues is often related to the belongings you already discovered (or could have accomplished). getting to understand algebra and trig is extra perplexing than getting to understand calculus, IMHO. very virtually all of technological know-how makes use of it. to no longer point out economics, engineering, corporation, ...

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