In a two-dimensional motion, instantaneous speed v0 is a positive constant. Then which of the following is necessarily true?
1. | The average velocity is not zero at any time. |
2. | The average acceleration must always vanish. |
3. | The displacements in equal time intervals are equal. |
4. | Equal path lengths are traversed in equal intervals. |
Hint: The magnitude of instantaneous velocity is equal to the speed.
Explanation: Speed (Instantaneous Speed): The magnitude of the velocity at any instant of time is known as the instantaneous speed or simply speed at that instant of time. It is denoted by v.
⇒Speed =DistanceTime
Mathematically, it is the time rate at which distance is being travelled by the particle.
Speed is a scalar quantity. It can never be negative (as shown by the speedometer of our vehicle). The instantaneous speed is the speed of a particle at a particular instant of time.
Hence, Total distance travelled=Path length =( Speed ) ×Time taken
Therefore speed is related to the total distance covered not the displacement.
Hence, option (4) is the correct answer.
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