Question

Draw a velocity time graph for an object in uniform motion show that the slope of velocity time graph gives acceleration of the body​

Answer 1

As per the question , an object travels with uniform motion. We have to draw it's velocity time graph :

First of all, uniform motion of any object refers to the fact that the object is moving with uniform velocity and has no acceleration.

So , its velocity time graph will be a straight line parallel to the time axis.

Acceleration is defined as Rate of change of velocity :

As per equation of Kinematics :

$v = u + at$

$= > at = v - u$

$= > a = \dfrac{v - u}{t}$

$= > a = \dfrac{\Delta v}{\Delta t}$

$= > a = slope \: of \: (v - t) \: graph$

Answer 2

Answer:

Explanation:

slope of this graph=velocity ×  time=acceleration.

so the slope of the body gives acceleration.

this is the velocity-time graph for uniform motion see   in the attachment