Question
Download Solution PDFIf an object is moving along a straight line and with respect to some reference point, its position is x1 at time t1 and becomes x2 at time t2 . The average velocity of the object during this time interval would be:
This question was previously asked in
RPF Constable 2024 Official Paper (Held On 03 Mar, 2025 Shift 1)
Answer (Detailed Solution Below)
Option 4 : (x2 − x1 ) / (t2 − t1 )
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Detailed Solution
Download Solution PDFThe correct answer is (x2 - x1 ) / (t2 - t1 ).
Key Points
- The average velocity is defined as the total displacement divided by the total time taken.
- Mathematically, it is expressed as (x2 - x1) / (t2 - t1), where x1 and x2 are the initial and final positions, and t1 and t2 are the initial and final times respectively.
- This formula provides a measure of how fast an object is moving along a straight line over a specified time interval.
- Average velocity is a vector quantity, meaning it has both magnitude and direction.
- It differs from instantaneous velocity, which refers to the speed of an object at a particular moment in time.
Additional Information
- Displacement
- It is the shortest distance between the initial and final positions of an object.
- Displacement is a vector quantity, having both magnitude and direction.
- It can be zero even if the distance traveled is non-zero, if the object returns to its starting point.
- Instantaneous Velocity
- It refers to the velocity of an object at a particular instant of time.
- Instantaneous velocity can be determined using differential calculus, by taking the derivative of the position function with respect to time.
- Unlike average velocity, it provides the speed and direction of an object at a specific moment.
- Speed vs. Velocity
- Speed is a scalar quantity that refers only to how fast an object is moving.
- Velocity is a vector quantity that describes both the speed and direction of an object's movement.
- Average speed is the total distance traveled divided by the total time taken, while average velocity is the total displacement divided by the total time taken.
- Uniform and Non-Uniform Motion
- In uniform motion, an object travels equal distances in equal intervals of time.
- In non-uniform motion, an object travels unequal distances in equal intervals of time.
- For non-uniform motion, average velocity can provide an overall description of the motion over a time interval.
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