Kinematics


   
 
Velocity-Time Graphs of Accelerated Motion
Zero acceleration
 
In this case, the velocity-time graph is parallel to the time-axis, as shown in the figure.
 
 
Constant positive acceleration and zero initial velocity
 
The velocity-time graph passes through the origin and is inclined to the time-axis such that the angle of inclination is greater than 0o and less than 90o, as shown in the figure.
 
 
Note that the slope of a velocity-time gives us acceleration. The acceleration takes positive to negative values as shown in graphs below.
 
Constant positive acceleration and non-zero initial velocity
 
This case is illustrated in the figure below, where the velocity-time graph is a straight line, sloping upwards and does not pass through the origin.
 
 
Constant negative acceleration
 
Here, the velocity-time graph is a straight line with a negative slope, as shown in the figure below.
 
 
Increasing acceleration
 
In this case, the velocity-time graph is a curve whose slope increases as we move farther from the origin, as shown in the figure.
 
 
Decreasing acceleration
 
Here, the velocity-time curve has a decreasing slope as we move away from the origin, as shown in the figure.
 
 
  
     
   
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Kinematics

  		•  Uniform Motion - Introduction
  		• Concept of a Point Object
  		• Rest and Motion
  		• Motion in One, Two and Three Dimensions
  		• Motion in a Straight Line
  		• Position-Time Graph for Non-Uniform Motion
  		• Graphical Representation of Uniform Motion
  		• Uniformly Accelerated Motion - Introduction
  		• Uniformly Accelerated Motion - Introduction
  		• Velocity-Time Graphs of Accelerated Motion
  		• Relations for Uniformly Accelerated Motion (Graphical Treatment)
  		• Position-Time Relations using Position-Time Graphs
  		• Distance as Area under Velocity-Time Graph
  		• Velocity-Time Relations using Calculus
  		• Velocity-Distance Relation
  		• Vectors - Introduction
  		• Definitions
  		• Unit Vector
  		• Fixed Vector
  		• Displacement Vector
  		• Multiplication of Vectors by Real Numbers, i.e., Scalar Multiple of a Vector
  		• Equality of Vectors
  		• The Zero Vector and its Properties
  		• Addition or Composition of Vectors
  		• Parallelogram Law of Vectors
  		• Law of Polygon of Vectors
  		• Resolution and Components of Vectors in a Plane
  		• Dot Product of Vectors and the Resolution of a Vector
  		• Relative Velocity in the Case of Two Velocities Inclined to Each Other
  		• Cross Product or Vector Product of Two Vectors
  		• Motion in a Plane - Introduction
  		• Case of Uniform Velocity
  		• Case of Uniform Acceleration
  		• Expression for Velocity Vector
  		• Projectile Motion
  		• Oblique Projectile
  		• Maximum Height
  		• Uniform Circular Motion
  		• Summary
    Animations
  		• Motion
  		• Difference between Distance and Displacement
  		• S - t Graph or Distance - Time Graph
  		• v - t Graph or Velocity - Time Graph
  		• Speed - Time Graph
  		• Scalar Product and Vector Product of two Vectors
  		• Projectile Motion