Speed and Velocity

Speed and Velocity speed Speed - Of an object is define as the time rate of change of the position of the object in any direction. ...

Speed and Velocity

speed
Speed- Of an object is define as the time rate of change of the position of the object in any direction.
It is measured by the distance traveled by the object in unit time in any direction i.e,
formula of speed
Speed is a scalar quantity. It gives no idea about direction of motion of the object. The speed of object can be zero or positive but never negative.
a) Uniform Speed. An object is said to be moving with uniform speed, if it covers equal distance in equal intervals of times, however small these intervals may be.
b) Variable speed. An object is said to be moving with a variable speed if it covers equal distance in unequal intervals of time or unequal distance in equal intervals of time,
c) Average speed. When an object is moving with a variable speed, then the average speed of the object covers the same distance in a given time as it does while moving with variable speed during the given time.Average speed for the given motion ids defined as the ratio of the total distance traveled by the object to the total time taken. i.e,
formula average speed
Velocity- Velocity of an object is define as the  time rate of change if displacement of the object. Its is also define as the speed of an object in given direction.
formula of velocity
Velocity is a vector quantity, as it has both, the magnitude and direction. The velocity of an object can be positive, zero and negative according as its displacement is positive, zero or negative.
a) Uniform Velocity. An object is said to be  moving with a uniform velocity, if it undergoes equal displacement in equal interval of time, howsoever small these intervals may be.
b) Variable Velocity. An object is said to be moving with variable velocity if it undergoes equal displacements in unequal intervals of time or unequal displacements in equal intervals of time or change direction of motion while moving with a constant speed.
c) Average velocity. For a given motion of an object, the average velocity is that uniform velocity with which the object will cover the same displacement in a given interval of time as it does with its actual variable velocity during the given interval of time.
formula of average velocity
d) Instantaneous velocity. The velocity of an object at a given instant of time or a given point during motion is called its instantaneous velocity.
                                   Instantaneous velocity of an object is that limit value of the average velocity of the object in a small interval of time around that instant, which tends to zero.
instantaneous velocity

where dx/dt is the first derivation of displacement with respect to time.

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Hind Classes: Speed and Velocity
Speed and Velocity
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