Types of Motion

• Simple Harmonic motion - motion that is constantly being accelerated towards a midpoint (e.g. a swinging pendulum).
• Linear motion - motion which follows a straight linear path, and whose displacement is exactly the same as its trajectory.
• Reciprocation (i.e. vibration)
• Brownian motion (i.e. the random movement of particles)
• Circular motions (e.g. the electrons of atoms)
  

Well friends , as you all are familiar with  kinematics , it is the science of describing the motion of objects using words, diagrams, numbers, graphs, and equations. The goal of any study of kinematics is to develop sophisticated mental models which serve to describe (and ultimately, explain) the motion of real-world objects.
Guys , check this site -> www.physicsclassrom.com for clearance of basic concepts of accelration , displacement , scalars, vectors , time , speed , velocity and etc.By now you must all be clear with formulae derivations and definitions...etc...all that stuff.Now , whats the real concern of this artilce is the representation of the various real life kinematic situations in graphical plottations.

Positive Velocity Constant Velocity	Positive Velocity Changing Velocity (acceleration)

Carefully look at this friends .The object represented by the graph on the right is traveling faster than the object represented by the graph on the left.The principle of slope can be used to extract relevant motion characteristics from a position vs. time graph; as the slope goes, so goes the velocity.

Slow, Rightward (+) Constant Velocity	Fast, Rightward (+) Constant Velocity

Here ,the object represented by the graph on the right is traveling faster than the object represented by the graph on the left.

Slow, Leftward (?) Constant Velocity	Fast, Leftward (?) Constant Velocity

As a matter of fact , the slope of a position vs. time graph reveals pertinent information about an object's velocity. For example, a small slope means a small velocity; a negative slope means a negative velocity; a constant slope (straight line) means a constant velocity; a changing slope (curved line) means a changing velocity. Thus the shape of the line on the graph (straight, curving, steeply sloped, mildly sloped, etc.) is descriptive of the object's motion.

The position vs. time graph for a free-falling object is shown below.

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A considerable amount of information about the motion can be obtained by examining the slope of the various graphs. The slope of the graph of position as a function of time is equal to the velocity at that time, and the slope of the graph of velocity as a function of time is equal to the acceleration.

A considerable amount of information about the motion can be obtained by examining the slope of the various motion graphs. The slope of the graph of position as a function of time is equal to the velocity at that time, and the slope of the graph of velocity as a function of time is equal to the acceleration.