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NEET PHYSICSEasy

Which of the following velocity-time graphs shows a realistic situation for a body in motion?

A

Option 1

B

Option 2

C

Option 3

D

Option 4

Step-by-Step Solution

  1. Single-Valued Function: For any motion to be physically realistic, a particle can possess only one specific value of velocity at a given instant of time. Mathematically, velocity must be a single-valued function of time .
  2. Impossible Situations: Graphs that loop back on themselves (circles or ellipses) or have vertical lines imply that the body has two or more different velocities at the same moment (tt), or infinite acceleration, which is physically impossible .
  3. Conclusion: The correct graph (realistic situation) is the one where for every value of time (tt), there is a unique corresponding value of velocity (vv).
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