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NEET PHYSICSEasy

A particle shows the distance-time curve as given in this figure. The maximum instantaneous velocity of the particle is around the point:

A

B

B

C

C

D

D

A

Step-by-Step Solution

  1. Concept: Instantaneous velocity is defined as the limit of the average velocity as the time interval tends to zero (v=lim⁡Δt→0ΔxΔt=dxdtv = \lim_{\Delta t \to 0} \frac{\Delta x}{\Delta t} = \frac{dx}{dt}). Geometrically, this value at any instant is equal to the slope of the tangent drawn to the position-time (or distance-time) graph at that specific point .
  2. Analysis: To determine the point of maximum instantaneous velocity, one must identify where the slope of the curve is the steepest (maximum positive value).
  3. Conclusion: By observing the slope of the tangent at points A, B, C, and D, the curve is steepest at point C. Therefore, the instantaneous velocity is maximum at point C.
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