# Tagged Questions

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### Intuitive explanation of the half in the $\frac{1}{2}at^2$ distance equation?

The full equation $$Xf = X_o + V_o t + \frac{at^2}{2}$$ is integrated from the velocity function (which was integrated from constant acceleration function), right? The problem is, I can't seem to ...
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### How to set up line integral of electric field? Confused over notation

In multivariable calculus the line integrals was parameterized and denoted: $$\int_C \mathbf{F} \bullet \, d\mathbf{r}=\int_D\mathbf{F}(\mathbf{r}(t)) \bullet \frac{d \mathbf{r}(t)}{dt} \, dt$$ ...
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### Calculating Intensity/Strength of Vibration with 3DOF

I want to calculate the intensity/strength of vibration at a given location. I have measured the acceleration at this location, using an accelerometer. So my measures look for example like: ...
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### Modulus in Calculus? [migrated]

Does Modulus function has any effect during differentiation and integration of a quantity? For example: Let two velocities be: $$v_1= (t-2) m/s$$ and $$v_2=|t-2|m/s$$ If we differentiate them ...
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### Can we have a physics by using other mathematics except calculus? [closed]

We (I) always have been said that we don't need to real values, we just need to differences. For example, $\mathrm du=C_v\mathrm dT$ and $\Delta u=\int_{T_1}^{T_2}C_v\mathrm dT$. So, I have some ...
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### Proof from Calculus 1 [migrated]

Last days, from going into a website of the university of Pisa, I found an exercise given in the previous exams, in 1999. The problem was like: Given a continuous function f in R, and which ...
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### How to calculate orbit of a sphere around a bigger one in microgravity?

I don't have any knowledge in physics, but in a world building related question, I need to know how can I calculate the orbit or the distance in each point of the orbit around a spherical object in ...
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### Why we use differential element to get general form? [closed]

When we study any physical system we use differential element to get an equation then integrate over specific period to get a general form. Why we don't get directly a general form without ...
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### What does $f(v)d^3v$ mean?

I am reading the derivation of Langmuir's Evaporation Equation. The author writes: That cylinder contains a volume $dA(vdt)cosθ$ and contains vapor molecules of the designated speed in the ...
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### If the integral is zero when is the integrand zero? [closed]

Using Stoke's theorem we prove that the curl of the Electric field vanishes. This would be possible only if the integrand is zero when the integral is zero.
Consider a rocket in free space of initial mass (including fuel) of $m_0$ using up/ejecting fuel at a constant rate $r$ (mass per time). That means that at time $t$ the rocket has mass $m=m_0-rt$. The ...