DISTANCE & DISPLACEMENT & SPEED:

DISTANCE:

The length of actual path is known as distance. e.g Distance from home to school, distance from home to masjid, distance from Peshawar to Karachi etc.

  DISPLACEMENT:

The shortest or straight distance between two points in a particular direction is called displacement. The straight distance between two points A and B is the example of displacement.

  DIFFERENCE:

             Distance is a scalar quantity, while displacement is a vector quantity.

        SPEED:

       Definition:

The distance covered by a body in unit time is called its speed.

                                                             OR

             The time rate of change of distance is called speed.

       Mathematical form:

             Speed = Distance covered

                                    Time

             V = S

                    t

                   Unit:

             In SI units the unit of speed is meter/second (m/s).

       Note:

             Speed is completely specified by its magnitude only, thus speed is a scalar quantity.

  TPYES OF SPEED:

1)      Uniform Speed:

If a body is covering equal distances in equal intervals of time, then its speed is said to be uniform.

2)      Variable Speed:

A body is said to be moving with variable speed, if it covers unequal distance in equal interval of time or equal distance in unequal interval of time.

3)      Average Speed:

The ratio between the total distance covered and total time taken by the body is called its average speed. Mathematically

             Average Speed = Total distance covered

                                                Total time

                         <V> = S

                                     t

             the triangular brackets indicates the average value.

4)      Instantaneous Speed:

The speed of a body at any instant of time is called instantaneous speed. It describes the speed of a body at every location of the path of motion. Mathematically

                         Speed = Distance covered

                                                Time

                         V_ins = ? S

                                    ? t

NOTE:

The above definition is applicable whether the motion is in a straight line or is along a curve path. In case of uniform speed, the instantaneous speed and the average speed are equal.






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TYPES OF MOTION

 TYPES OF :MOTION

       Generally the motion is of three types, translatory motion, rotatory motion and vibratory motion.

1)      Translatory Motion:

       When a body changes its position as a whole, is called its translatory motion. The line or path of

        motion could be straight or curved.

Examples:

        Motion of a horse or motion of a ball, moving car, falling bodies, rowing boats, flying birds are

       examples of translatory motion. translatory motion may be of the following types.

a)      Linear Motion:

If a body moves along a straight line, its motion is called linear motion. e.g motion of free falling bodies.

b)      Circular Motion:

If a body moves in a circle its motion is called circular motion. e.g whirling of a stone attached to a string.

c)      Random Motion:

If a body moves in an irregular manner, its motion is called random motion. e.g the flight of butterfly or motion of gas molecules.

2)      Rotatory / Circular Motion:

When a body rotates as a whole around a fixed axis, is called its rotatory motion. In fact, the particles of the body move in circle. OR The motion of a body in a circular path is called rotatory/circular motion.

Examples:

       Motion of wheel of a cycle, the hands of a clock, the wings of a turning fan and motion of the

       earth around its axis are examples of rotatory motion.

3)      Vibratory Motion:

The to and fro motion of an object about its mean position, repeated at regular intervals of a time is called vibratory or oscillatory motion.

Examples:

        Vibration of a pendulum, the oscillation of a mass attached to an elastic spring, motion of swing

        and the vibration of a plucked violin string.

   NOTE:

The motion of a body can be translatory, rotatory, vibratory or any combination of the three at the

same tine. e.g The motion of a cricket ball can have translatory as well as spin ( rotatory) motion.

The atoms/ molecules of gas can vibrate, rotate on its axis and at the same time can move freely

in its container.

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MOTION:

MOTION:

Definition:

If a body changes its position with respect to its surrounding then it is said to be in motion.

Examples:

i)        When a wagon makes start from its stoop, then a person standing at the stop notices the motion

    of the wagon. Because the wagon is changing its position with respect to it’s surrounding.

ii)      Similarly, riding on a bicycle, we have the feeling of motion because we are changing our

     Position with respect to the surrounding.

REST:

Definition:

If a body does not change its position with respect to its surrounding then it is said to be in motion.

Examples:

i)           When a by standing on the stop, then the position of the bus in not changing with respect to a person sitting there on a bench. The bus is at rest with respect to that person.

ii)         A person traveling in a bus is at rest with respect to the seat he is sitting on it. But he is in motion with respect to all the things outside the bus.

NOTE:

It is concluded that the states of rest and motion are relative. There is nothing like absolute motion or absolute rest

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KINEMATICS:

 KINEMATICS:

The branch of physics that deals with the study of motion of objects without reference to force and mass is called kinematics.

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