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In which situations should we use the formula (u+v)/2 for average velocity?

GeneralClass 12AllAnswered 27 Mar 2026
Answer

Use this formula ONLY when acceleration is constant throughout the motion.

When to use it:

  • Uniformly accelerated motion (constant a)
  • Linear velocity-time graphs
  • Motion under constant force

When NOT to use it:

  • Variable acceleration
  • Circular motion (even at constant speed)
  • Non-linear velocity changes

Example: A car accelerates uniformly from 0 to 20 m/s. Average velocity = (0 + 20)/2 = 10 m/s. But if it accelerates rapidly then slowly, this formula won't be accurate.

General · Class 12