In a uniform motion, the body covers equal distances in equal intervals of time. That means it has a constant velocity over the given period of time. By looking at the x – t, and v – t graph we can say what kind of motion it is. First, we will take x – t graph:
the slope is constant. Therefore,
Change in displacement/Change in time = Constant
So the motion is uniform. Similarly, if we take a v – t graph and the plot is horizontal or parallel to the time axis then the motion is uniform as it covers equal distance in equal interval of time.
Non-uniform motion:
As the name suggests that a motion in which the body covers unequal distances in equal intervals of time is known as a non-uniform motion. Let’s see the following v – t graph:
We know are under v – t graph represents displacement of the body. As we can see for the same time interval the area under A and B are different. So this is a non-uniform motion. So with respect to non-uniform motion we usually define average velocity. The average velocity formula is:
Average Velocity = Change in displacement/Time Taken
From the equation of motion,
Displacement = ut + 12at2
Average Velocity = ut + 12at2t
= u + at2
From first equation of motion,
Average velocity = u + v − u2
Average Velocity = v + u2
Where, v = Final Velocity
u = Initial Velocity
Similarly, we can define average speed. The formula for average speed is given us:
Answer:
by using velocity formulas
Explanation:
uniform velocity :- d=v/t
and same for non uniform also
Explanation:
Uniform Motion:
In a uniform motion, the body covers equal distances in equal intervals of time. That means it has a constant velocity over the given period of time. By looking at the x – t, and v – t graph we can say what kind of motion it is. First, we will take x – t graph:
the slope is constant. Therefore,
Change in displacement/Change in time = Constant
So the motion is uniform. Similarly, if we take a v – t graph and the plot is horizontal or parallel to the time axis then the motion is uniform as it covers equal distance in equal interval of time.
Non-uniform motion:
As the name suggests that a motion in which the body covers unequal distances in equal intervals of time is known as a non-uniform motion. Let’s see the following v – t graph:
We know are under v – t graph represents displacement of the body. As we can see for the same time interval the area under A and B are different. So this is a non-uniform motion. So with respect to non-uniform motion we usually define average velocity. The average velocity formula is:
Average Velocity = Change in displacement/Time Taken
From the equation of motion,
Displacement = ut + 12at2
Average Velocity = ut + 12at2t
= u + at2
From first equation of motion,
Average velocity = u + v − u2
Average Velocity = v + u2
Where, v = Final Velocity
u = Initial Velocity
Similarly, we can define average speed. The formula for average speed is given us:
Average speed = Change in distance/Time Taken
buddy understand