Its dimensional formula is also [M0L1T0]. Uniform Velocity
The magnitude of displacement is less
If an object undergoes equal displacements in
than or equal to the magnitude of distance.
equal intervals of time, then it is said to be
|Displacement| ≤ |Distance|
moving with a uniform velocity.
Non-Uniform Velocity
If an object undergoes unequal displacements
in equal intervals of time, then it is said to be
moving with a non-uniform or variable
velocity.
Speed (v) Relative velocity
It is the rate of change of distance with Relative velocity of an object with respect
respect to time. to another object is the time rate of change
It is a scalar quantity and its unit is of relative position of one object with
meter/second (m/s). respect to another object.
Dimension of speed is [M0L1T-1]. Relative velocity of object A with respect
Average speed is to object B
s Total distance travelled V AB V A VB
va
t Total time taken
Speed of Light = 3 x 108 m/s Acceleration (a)
Speed of Sound = 343 m/s
The time rate of change of velocity is
The first scientist to measure speed as called acceleration.
distance over time was Galileo.
Its unit is m/s2
Velocity ( v )
Its dimensional formula is [M0LT-2]
It is the rate of change of displacement It is a vector quantity.
with respect to time.
Average acceleration over a period of time
It is a vector quantity and its unit is is the change in velocity v) divided by
meter/second (m/s). the duration of the period t)
Dimension of speed is [M0L1T-1]
v v 2 v1
Average velocity is a
t t
s Displacement
va Acceleration of an object is zero, if it is at
t Total time taken
rest or moving with uniform velocity.
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