All Questions
4 questions
0
votes
7
answers
104
views
How does the result of derivative become different from average ratio calculation?
Lets give an example. Velocity, $v=ds/dt$. If we know the value of $s$ (displacement) and $t$ (time), we can instantly find the value of $v$. But then this $v$ will be the average velocity.
Now ...
- 15
0
votes
1
answer
72
views
Sine and Cosine Functions [closed]
So long story short, We were given a windmill to experiment with and a sensor could sense the Voltage produced and graph it concerning time. We decided to make a sine wave out of the positive and ...
3
votes
3
answers
296
views
If the displacement of an object is not differentiable at some point, say $x(t)=t\sin(1/t)$ at $t=0$, how is its instant $v$ defined? [closed]
If instant velocity at any given time $t_0$ is defined as the derivative of $x(t)$ at $t_0$, what if the derivative does not exist? How are we supposed to deal with $x(t)=|t|$ at $t=0$, or for more ...
- 39
-4
votes
2
answers
5k
views
Does differentiating a distance with respect to time give velocity?
I'm just wondering if you have a distance function:
$$
s(t) = 0.1t^2 - 5t
$$
where $s(t)$ is distance and $t$ is time in seconds, does differentiating it give you a function for velocity?
- 163