Answer to Question #251171 in Mechanics | Relativity for Bread

Question

How do you draw the graph for the same motion?

https://media.discordapp.net/attachments/897567079601950743/898040273353998376/20211013_205120.jpg

Answer 1

It is good to remember that for uniform motion, the position vs. time changes linearly, according to the liner law:

$$d=vt,$$

which is equivalent to

$$y=kx.$$

k (v) here indicates the slope of the graph. Therefore, the velocity is a constant, so, below a steeper slope on position-time graph you can graph a higher velocity line, which is parallel to t-axis. Why? At high velocity, you cover a greater distance within the same time.

Below a gentle slope, the velocity line in velocity-time graph is lower. Why? Because at lower velocity, your position changes slower. Take a look at three graphs:

Where the graph has a negative slope (from top left to bottom right, see (5) and (6)), the velocity is negative because you return to your initial position.

P.S. You need to correct velocity-time graph (2)