- #1
logan3
- 83
- 2
I was wondering how speed, velocity, acceleration and anything with a [itex]\Delta t[/itex] in the denominator are defined at [itex]\Delta t=0[/itex]? Other than approximating with limits, aren't they undefined?
Ex: [itex]{\vec{v_{avg}} = \frac{\vec{s}}{\Delta t}}[/itex], at t = 0 [itex]\Rightarrow {\vec{v_{avg}} = \frac{\vec{s}}{0}} \Rightarrow {\vec{v_{avg}}} = und.[/itex]
[itex]{\vec{a}} = \frac{\vec{v_{f}}-\vec{v_{i}}}{\Delta t}[/itex], at t = 0 [itex]\Rightarrow {\vec{a}} = \frac{\vec{v_{f}}-\vec{v_{i}}}{0} \Rightarrow {\vec{a}} = und.[/itex]
Thank-you
Ex: [itex]{\vec{v_{avg}} = \frac{\vec{s}}{\Delta t}}[/itex], at t = 0 [itex]\Rightarrow {\vec{v_{avg}} = \frac{\vec{s}}{0}} \Rightarrow {\vec{v_{avg}}} = und.[/itex]
[itex]{\vec{a}} = \frac{\vec{v_{f}}-\vec{v_{i}}}{\Delta t}[/itex], at t = 0 [itex]\Rightarrow {\vec{a}} = \frac{\vec{v_{f}}-\vec{v_{i}}}{0} \Rightarrow {\vec{a}} = und.[/itex]
Thank-you