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Question

An ant moves along the square loop of side a m. If it moves along path ABC, starting from A to reach at the point C in 2 s.

The average velocity of ant will be
  1. Avergae velocity of ant is a m/s along ABC
  2. Avergae velocity of ant is a2 m/s along AC
  3. Avergae velocity of ant is 3a2 m/s along BC
  4. Average velocity of ant is zero.


Solution

The correct option is B Avergae velocity of ant is a2 m/s along AC
The displacement of ant will be the length of diagonal AC.
ΔS=AC=2 a m
Δt=2 s
velocityavg=ΔSΔt
velocityavg=2a m2 s=a2 m/s
This is the required magnitude of average velocity. However, the direction of average velocity will be along the direction of displacement(AC).
Avergae velocity of ant is a2 m/s along AC

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