Question

What does slope of position - time graph represent?

Answer 1

The slope of position time graph represents speed or velocity of the object or particle.
Plz mark and brainliest

Answer 2

The slope of the position-time graph represents the velocity of the particle.

Explanation:

→ The velocity of a particle can be defined as the rate of change of its position.

We can calculate the velocity of a body by dividing the net change in position (Δx) by the total time taken (Δt).          

                                               $\boldsymbol{\therefore v=\frac{\triangle x}{\triangle t} }$                    

→ The differential form: The differentiation of the position (x) of the body with respect to time (t) gives the velocity (v) of the body.

                                               $\boldsymbol{\therefore v=\frac{d x}{d t} }$

→ Graphical significance of the derivative of the position (x) with respect to the time (t):

• On the position-time graph, the differentiation of the position (x) of the body with respect to time (t) is equal to the slope of the position-time graph.
• Thus it can be said that the slope of the position-time graph represents the velocity of the particle.

Therefore, the slope of the position-time graph represents the velocity of the particle.

#SPJ2