Lecture Series on Classical Physics by Prof.V.Balakrishnan, Department of Physics, IIT Madras.
The change in position vector of the particle for a given time interval is known as its displacement.
AB = r = r2 - r1
Displacement is a vector quantity and its SI unit is meter.
It can decrease with time.
For a moving particle in a given interval of time
Distance can be a many-valued function but displacement would be always a single-valued function.
Displacement can be +ve, -ve or 0 but distance would be always +ve.
Distance ≥ Magnitude of displacement.
Distance is always equal to displacement only and only if particle is moving along a straight line without any change in direction
Average speed and average velocity :-
Average speed and average velocity are always defined for a time interval.
Average speed (v) = Total distance travelled / time interval
=Δs/Δt
Average velocity = Displacement / time
= Δr/Δt
= r2-r1 / t2-t2
Average speed is a scalar quantity, while average velocity is a vector quantity. Both have the same SI units, i.e., m/s
For a moving particle in a given interval of time
Average speed can be a many-valued function but average velocity would be always a single-valued function.
Average velocity can be +ve, -ve or 0 but average speed would be always +ve.
Instantaneous speed and instantaneous velocity
There are defined for a particular instant. (In physics, instant mean a very small interval which is tends to zero).
Instantaneous speed,
(v) = lim v = ds/dt
= Rate of change of position
Instantaneous speed is the scalar quantity, while instantaneous velocity is the vector quantity, both having the same SI units, i.e., m/s
v= |v|, i.e., instantaneous speed is always equal to magnitude of instantaneous velocity.
AB = r = r2 - r1
Displacement is a vector quantity and its SI unit is meter.
It can decrease with time.
For a moving particle in a given interval of time
Distance can be a many-valued function but displacement would be always a single-valued function.
Displacement can be +ve, -ve or 0 but distance would be always +ve.
Distance ≥ Magnitude of displacement.
Distance is always equal to displacement only and only if particle is moving along a straight line without any change in direction
Average speed and average velocity :-
Average speed and average velocity are always defined for a time interval.
Average speed (v) = Total distance travelled / time interval
=Δs/Δt
Average velocity = Displacement / time
= Δr/Δt
= r2-r1 / t2-t2
Average speed is a scalar quantity, while average velocity is a vector quantity. Both have the same SI units, i.e., m/s
For a moving particle in a given interval of time
Average speed can be a many-valued function but average velocity would be always a single-valued function.
Average velocity can be +ve, -ve or 0 but average speed would be always +ve.
Instantaneous speed and instantaneous velocity
There are defined for a particular instant. (In physics, instant mean a very small interval which is tends to zero).
Instantaneous speed,
(v) = lim v = ds/dt
= Rate of change of position
Instantaneous speed is the scalar quantity, while instantaneous velocity is the vector quantity, both having the same SI units, i.e., m/s
v= |v|, i.e., instantaneous speed is always equal to magnitude of instantaneous velocity.
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