Definition
Frame of reference
A frame of reference consists of a coordinate system and the set of physical reference points that uniquely determine positions and velocities of objects in that frame. Different reference frames move relative to one another.
Definition
Point Objects
Point object is an expression used in kinematics, it is an object whose dimensions are ignored or neglected while considering its motion. A point object refers to a tiny object which is calculated or counted as dot object to simplify the calculations. A real object can rotate as it moves.
Definition
Distance
Distance is defined as the length of the actual path traveled by a body. For example, if a body covers half the circumference of a circle of radius , the distance traveled is
Definition
Displacement
Displacement of object is equal to the length of the shortest path between the final and the initial points. Its direction is from the initial point to the final point. It is a vector quantity.
For example, if a body moves along a circle of radius and covers half the circumference, then displacement is given by
For example, if a body moves along a circle of radius and covers half the circumference, then displacement is given by
Definition
Distance v/s displacement
| S.No | Distance | Displacement |
| 1. | It is the length of actual path traveled | It is the length of shortest distance between final and initial points |
| 2. | It is a scalar | It is a vector |
Definition
Calculating distance in one-dimensional motion
Total distance traveled in one-dimension can be found by adding (or integrating) the path lengths for all parts of motion. Note that every path length is greater than 0.
Athletes race in a straight track of length m and return back.The total distance traveled by each athlete is = .
Athletes race in a straight track of length m and return back.The total distance traveled by each athlete is = .
Definition
Displacement
In one dimensional motion displacement of the of the object will be shortest distance between final and initial point.
Example:
Displacement of a particle in a circular motion would be zero when it reaches to the starting point.
Example:
Displacement of a particle in a circular motion would be zero when it reaches to the starting point.
Definition
Numerical Problems on distance and displacement
Distance and Displacement: Distance refers to "how much ground an object has covered" during its motion while Displacement refers to how far out of place an object is. Distance is a Scalar quantity whereas Displacement is a Vector quantity. Let's suppose a particle is constrained to move on a straight line path. It returns to the starting point A after going farther 10m from the starting point. In this particular case Displacement of the particle is zero whereas Distance traveled is 20 m.
Definition
Distance in two-dimensions
Total distance traveled in two-dimensions can be found by adding (or integrating) the path lengths for all parts of motion. Note that every path length is greater than zero.
A man walk km north, then km east and then km south. Then the total distance covered by him is given by
A man walk km north, then km east and then km south. Then the total distance covered by him is given by
Example
Displacement of an Object Moving in two dimensions where direction changes after finite distance
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