Motion in a Straight Line : Motion in a Straight Line Gurukul24X7
Reference Point
Position
Displacement
Path Length or Distance
Average Velocity
Average Speed
Instantaneous Velocity and Speed
Relative Motion
Questions From Students.
Getting Started. : Getting Started. Defining Reference Point.
How Measurements are taken.
Importance of a reference point.
Do same results come from different reference points?
What if we use measurements of different reference points.
The concept of Position. : The concept of Position. What is position.
Why do we need position.
What is the role of reference point.
Displacement. : Displacement. Change in position.
Can be negative, positive or zero.
Defined with respect to a reference point.
Is a vector quantity.
Direction gives the direction of motion of an object.
Avearge Velocity. : Avearge Velocity. Change in displacement measured over a time duration.
Like displacement it can be positive, negative or zero.
Is a vector quantity.
Gives the direction of motion of an object.
Is defined only for a time duration and NOT for a particular instant of time.
Path Length. : Path Length. Displacement is the shortest distance between two points.
Path length is the length of the path which is actually taken by an object.
Path Length >= Displacement.
Path Length Never Decreases.
Path Length is >=0 always.
Average Speed. : Average Speed. Defined as Distance travelled over a time duration.
Is always >= Average Velocity.
Is a Scalar.
Is >=0 always.
Is defined for a time duration and NOT at a particular instant of time.
Instantaneous Velocity and Speed. : Instantaneous Velocity and Speed. Instantaneous velocity is defined at a particular instant.
Same formula used but the time duration is made infintesimaly smaller.
Uses calculus. Thus equations can be complex function of time.
Instantaneous velocity is also a vector.
Instantaneous speed is just the magnitude of instantaneous velocity.
Instantaneous speed = instantaneous velocity.
Acceleration. : Acceleration. Change in Instantaneous Velocity over a time duration.
Is a vector.
Can be positive, negative or zero.
Is generally called instantaneous acceleration and uses calculus.
Has no other relation with velocity apart from formula. A Zero velocity object can have non-zero acceleration. For example when an object is thrown up. At highest point V=0 , a=-g.
Kinematics Equations. : Kinematics Equations. What is the purpose of these equations?
When can you apply them?
When you can't.
A full proof method called CALCULUS.
You must define your reference point and coordinate axis.
Graphs. : Graphs. Knowing graphs.
Why Graphs are important?
What information can be extracted from graphs?
Knowing which graphs are valid and which are not.
Some graphs possible mathematically though have no consequence physically. We need to think of the information conveyed in a graph phsyically.
Relative Motion. : Relative Motion. Not a new kind of motion. We see it everyday in action!.
Stationary and moving observers.
How it affects measurements.
Same rules, just different scales.
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