All Questions
7 questions
3
votes
2
answers
133
views
Is this notation inconsistent? If not, can some explain why not?
Im working through a textbook section on particle kinematics. An example given is relating vertical velocity to horizontal velocity and states:
$y$ has a constant velocity of $10 \ \rm [m/s]$
$y=(0....
- 31
2
votes
3
answers
193
views
Is $ d \mathbf v · d \mathbf v = d \mathit v^2 $?
My teacher has proved the following:
$$ \mathit v^2 = \mathbf v·\mathbf v = \frac{d\mathbf r}{dt}·\frac{d\mathbf r}{dt} = \left(\frac {ds}{dt}\right)^2 \Rightarrow \mathit v = \frac{ds}{dt} $$
Because ...
- 23
2
votes
1
answer
252
views
Abuse of Calculus [duplicate]
I'm following Professor R. Shankar's Fundamentals of Physics course on YouTube.
There I saw him doing manipulations of Calculus I never saw before.
Here it goes,
$$\newcommand\deriv[2]{\frac{\mathrm ...
- 21
0
votes
1
answer
856
views
Variations of Kinematic equations
So I recently decided to start learning physics, and have been using various online resources to learn. What I always find are different ways to write the same equation. Now I realize this might be a ...
- 39
-1
votes
1
answer
51
views
Assistance interpreting equation
Given a position function of a particle:
$$
\mathbf r=r\,\hat{\mathbf r}\left(\theta\right),
$$
where $\hat{\mathbf r}(θ)$ is the polar unit vector, to find the velocity, we take the derivative which ...
- 13
2
votes
3
answers
179
views
Difference between $|d{\bf r}|$ and $d|{\bf r}|$
What is the difference between $|d{\bf r}|$ and $d|{\bf r}|$ and why are both of them not always equal to each other?
My question might seem stupid to some and will probably get downvoted but I have ...
- 733
0
votes
3
answers
960
views
Acceleration derivative
I am reading Morris Kline's "Calculus" and I fail to understand this notation:
We have acceleration to which an object $r$ feet from the center of the earth (and above the earth) is subject. If we ...
- 147