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NEET PHYSICSEasy

The x-t graph shown in figure represents

A

Constant velocity

B

Velocity of the body is continuously changing

C

Instantaneous velocity

D

The body travels with constant speed upto time t₁ and then stops

Step-by-Step Solution

  1. Slope represents Velocity: In a position-time (xtx-t) graph, the slope of the curve at any point represents the instantaneous velocity of the body (v=dxdtv = \frac{dx}{dt}) .
  2. Graph Analysis:
  • Constant Slope: A straight line inclined to the time axis indicates a constant slope, meaning the body is moving with a constant velocity (or speed).
  • Zero Slope: A line parallel to the time axis (horizontal) has a slope of zero, indicating that the position is not changing. This means the velocity is zero and the body has stopped.
  1. Conclusion: The description in the correct option implies a graph consisting of a straight inclined line from t=0t=0 to t=t1t=t_1 (constant speed) followed by a horizontal line (rest). This matches the physical interpretation of the option.
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