Question

Hello! I have a question concerning X-T Graphs and finding instantaneous velocity.

To determine the velocity of a curved line (representing changing motion), is it acceptable to draw any arbitrary tangent line that goes through that point?

Answer 1

@ganeshie8

Answer 2

Instantaneous velocity of that point *.

Answer 3

In order to determine the instantaneous velocity, we can analyze the slope of the position graph at a certain point. This value will yield that value that we're looking for here. Additionally, instantaneous velocity is mathematically defined as:
\[\huge v_{inst}= \lim_{\Delta t \rightarrow 0}\frac{\Delta x}{\Delta t}\]

Answer 4

Also, we can extend the tangent line that touches the point of interest, as you have drawn. Let's take another example