Saturday, May 30, 2015

When is velocity and speed the same.

Velocity of an object refers to the rate of movement or
change of its position in terms of distance covered as well as the direction of
movement. In contrast, speed is a measurement of the rate of change of position. A
variable or quantity like velocity that has speed as well as direction is called a
vector. A variable or quantity that has only magnitude is called a scalar
quantity.


The magnitude of velocity and speed are measured
in the same units such as 'meters per second, or 'kilometers per hour'. The magnitude of
velocity and the speed of a body is same when the movement of the body is in a straight
line, and there is no reversal of direction of movement due to
acceleration.


When a object moves along a curved path at a
constant speed, the velocity is not constant but variable. For example, an object moving
along a circle of radius r at constant speed of x meters per second will have a variable
velocity due to an acceleration equal to (x^2)/r m/s^2 acting towards the center of the
circle.

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