Representation of Non-Uniform Motion
Understanding non-uniform motion requires mathematical expressions that tell us about the dynamicity of changes in velocity and displacement over time. These representations give us a systematic way to analyze and predict the behavior of objects undergoing non-uniform motion.
Equations of Non-Uniform Motion
Speed: Formula for speed of any object in uniform motion is,
v(t) = ds(t)/dt
where,
- v(t) is Instantaneous speed at time t
- ds(t) is Distance travelled at time t
Acceleration:
Formula for speed of any object in uniform motion is,
a(t) = dv(t)/dt
where a(t) is the instantaneous acceleration at time t
Equations of Motion: These relate displacement, velocity, acceleration, and time, allowing us to solve real-world problems.
Graphical Analysis of Non-Uniform Motion
Distance-Time Graph: Slope of this graph represents the instantaneous speed. The more vertical the slope is higher the speed will be.
Velocity-Time Graph: Slope of this graph represents the instantaneous acceleration. The positive slope represents positive acceleration (speed is increasing), a negative slope represents deceleration (speed is decreasing), and a horizontal line suggests constant speed.
Non Uniform Motion
Non-Uniform Motion is the motion of an object, in which the object covers unequal distances in equal time intervals. Motion of a car in traffic, motion of a footballer, etc are considered to be non-uniform motions. In this article, we have covered Non-Uniform motion definition, Examples of non-uniform motion, and various others in detail.
Table of Content
- What Is Non-Uniform Motion?
- Examples of Non-Uniform Motion
- Characteristics of Non-Uniform Motion
- Representation of Non-Uniform Motion
- Applications of Non-Uniform Motion
- Difference between Uniform and Non-Uniform Motion