Instantaneous Velocity And Speed
Chapter Name : Motion In A Straight Line |
Sub Topic Code : 101_11_03_04_01 |
Topic Name : Instantaneous Velocity And Speed |
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Sub Topic Name : Instantaneous Velocity And Speed |
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Introduction
The velocity at an instant is defined as the limit of the average velocity as the time interval ?t becomes infinitesimally small. It is relatively easy to calculate instantaneous velocity using the numerical method than the graphical method. Also Instantaneous speed or simply speed is the magnitude of velocity.
Pre-Requisites:
Speed, Velocity, Average velocity, Uniform motion, dx/dt
Activity:
Defining instantaneous velocity and speed and seeing how they are calculated. Understanding the difference between average velocity and instantaneous velocity.
Real Life Question:
Why is the velocity different for a time interval and at an instant?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Instantaneous velocity | The limit of the average velocity as the time interval ?t becomes infinitesimally small. |
| Instantaneous speed | The magnitude of velocity at a particular instant. |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Speedometer | Observe the speedometer in your car to find out its instantaneous speed and velocity. |
Real life uses :
The concept of instantaneous velocity is used to calculate the velocity of our vehicles.
Places to visit :
Check the speedometer in your car to see what its instantaneous speed and velocity is.
Practical examples around us
| Examples | Explainations |
|---|---|
| A speeding car | The values of velocity of the car are different for a time interval and at a particular instant which explains the concept of instantaneous velocity. |
What you learn in Theory:
What is instantaneous velocity and how is it different from average velocity.
What you learn in Practice:
Calculating instantaneous velocity using the numerical and graphical method.