Dx/dt = dv or just v

  • Thread starter quasi426
  • Start date
208
0
Does dx/dt = dv or just v(avg.)?


Thanks
 

dextercioby

Science Advisor
Homework Helper
Insights Author
12,949
532
There's no average,it's the function itself.

[tex]v(t)=:\frac{dx(t)}{dt} [/tex]

We call it instant velocity,as we can use the definition of the derivative.We compute the "x" comp.of the velocity at the moment of time [itex]t_{0} [/itex] by

[tex] v(t_{0})=:\lim_{t\rightarrow t_{0}} \frac{x(t)-x(t_{0})}{t-t_{0}} [/tex]

or simply by plugging the time value in the velocity function itself.

Daniel.
 

Related Threads for: Dx/dt = dv or just v

  • Posted
Replies
3
Views
4K
  • Posted
Replies
3
Views
31K
Replies
10
Views
6K
  • Posted
Replies
8
Views
19K
  • Posted
Replies
3
Views
10K
  • Posted
Replies
7
Views
3K
Replies
9
Views
2K
Replies
13
Views
2K

Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving

Hot Threads

Top