Same Speed, Different Velocity : āĻāĻā§ āĻĻā§ā§°ā§āϤāĻŋ, āĻāĻŋāύā§āϤ⧠āĻŦā§āϞā§āĻ āĻŦā§āĻ
Same Speed, Different Velocity : How ? : āĻāĻā§ āĻĻā§ā§°ā§āϤāĻŋ, āĻāĻŋāύā§āϤ⧠āĻŦā§āϞā§āĻ āĻŦā§āĻ
Both runners have speed = 5 m/s (āĻĻā§āϝāĻŧā§āĻāύ āĻĻā§ā§°āĻŦāĻŋāĻĻā§° āĻĻā§ā§°ā§āϤāĻŋ = ā§Ģ āĻŽāĻŋ/āĻā§)
Runner A / āĻĻā§ā§°āĻŦāĻŋāĻĻ A
Straight path → Large displacement (āϏā§āĻāĻž āĻĒāĻĨ → āĻ āϧāĻŋāĻ āϏā§āĻĨāĻžāύāĻžāύā§āϤ⧰ (Displacement))
5 m/s → → → Since direction remains almost the same, Velocity is larger in that direction. (āϝāĻŋāĻšā§āϤ⧠āĻĻāĻŋāĻļ āĻĒā§ā§°āĻžāϝāĻŧ āĻāĻā§āĻ āĻĨāĻžāĻā§, āϏā§āϝāĻŧā§ āϏā§āĻ āĻĻāĻŋāĻļāϤ āĻŦā§āĻ āĻ āϧāĻŋāĻ āĻšāϝāĻŧāĨ¤)
Runner B / āĻĻā§ā§°āĻŦāĻŋāĻĻ B
Circular path → Direction keeps changing (āĻŦā§āϤā§āϤāĻžāĻāĻžā§° āĻĒāĻĨ → āĻĻāĻŋāĻļ āϏāĻĻāĻžāϝāĻŧ āϏāϞāύāĻŋ āĻšā§ āĻĨāĻžāĻā§)
5 m/s âŗ
Smaller displacement (āĻāĻŽ āϏā§āĻĨāĻžāύāĻžāύā§āϤ⧰)
If one full circle is completed: (āϝāĻĻāĻŋ āĻāĻāĻž āϏāĻŽā§āĻĒā§ā§°ā§āĻŖ āĻŦā§āϤā§āϤ āϏāĻŽā§āĻĒāύā§āύ āĻšāϝāĻŧ -)
Displacement = 0 (āϏā§āĻĨāĻžāύāĻžāύā§āϤ⧰ = ā§Ļ)
Therefore, velocity can become zero. (āϏā§āϝāĻŧā§, āĻŦā§āĻ āĻļā§āύā§āϝ āĻš’āĻŦ āĻĒāĻžā§°ā§āĨ¤)
Idea / āϧāĻžā§°āĻŖāĻž
Even if two runners move at the same speed, their velocities can be different if their directions are different. (āϝāĻĻāĻŋāĻ āĻĻā§āϝāĻŧā§āĻāύ āĻĻā§ā§°āĻŦāĻŋāĻĻ āĻāĻā§ āĻĻā§ā§°ā§āϤāĻŋā§°ā§ āĻāϞā§, āĻĻāĻŋāĻļ āĻŦā§āϞā§āĻ āĻš’āϞ⧠āϏāĻŋāĻšāĻāϤ⧰ āĻŦā§āĻ āĻŦā§āϞā§āĻ āĻš’āĻŦ āĻĒāĻžā§°ā§āĨ¤)
Important Note / āĻā§ā§°ā§āϤā§āĻŦāĻĒā§āϰā§āĻŖ āĻā§āĻāĻž
Speed depends only on magnitude. (āĻĻā§ā§°ā§āϤāĻŋ āĻā§ā§ąāϞ āĻŽāĻžāύ⧰ āĻāĻĒā§°āϤ āύāĻŋā§°ā§āĻā§° āĻā§°ā§āĨ¤)
Velocity depends on magnitude and direction. (āĻŦā§āĻ āĻŽāĻžāύ āĻā§°ā§ āĻĻāĻŋāĻļ āĻĻā§āϝāĻŧā§āĻāĻžā§° āĻāĻĒā§°āϤ āύāĻŋā§°ā§āĻā§° āĻā§°ā§āĨ¤)
Exam Tip / āĻĒā§°ā§āĻā§āώāĻžā§° āĻāĻŋāĻĒāĻ
- Speed is a scalar quantity (āĻĻā§ā§°ā§āϤāĻŋ āĻāĻāĻž Scalar QuantityāĨ¤)
- Velocity is a vector quantit (āĻŦā§āĻ āĻāĻāĻž Vector QuantityāĨ¤)
Comparison / āϤā§āϞāύāĻž