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NEET PHYSICSEasy

The acceleration of a moving body can be found from:

A

Area under the velocity-time graph

B

Area under the distance-time graph

C

Slope of the velocity-time graph

D

Slope of the distance-time graph

Step-by-Step Solution

  1. Definition of Acceleration: Acceleration is defined as the rate of change of velocity with respect to time (a=dvdta = \frac{dv}{dt}). Geometrically, the derivative represents the slope of the tangent to the curve.
  2. Velocity-Time Graph Analysis: On a plot of velocity versus time, the average acceleration is the slope of the straight line connecting two points. The instantaneous acceleration is the slope of the tangent to the vtv-t curve at that instant .
  3. Other Options: The area under the velocity-time graph represents the displacement . The slope of the position-time (distance-time) graph represents the velocity (v=dxdtv = \frac{dx}{dt}) .
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