Solved: PHYSICS Question for NEET

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An object is moving with a uniform acceleration which is parallel to its instantaneous direction of motion. The displacement (s) – velocity (v) graph of this object is

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Step-by-Step Solution

Kinematic Equation: For an object moving with uniform (constant) acceleration $a$ along a straight line, the relationship between displacement $s$ , final velocity $v$ , and initial velocity $u$ is given by the third equation of motion: $v^2 = u^2 + 2as$ .
Mathematical Relationship: Rearranging the equation to solve for displacement $s$ , we get $s = \frac{v^2 - u^2}{2a}$ . This equation indicates that displacement $s$ is proportional to the square of the velocity ( $s \propto v^2$ ).
Graphical Shape: A relationship where one variable is proportional to the square of the other ( $y \propto x^2$ ) represents a parabola. Therefore, the graph plotting displacement ( $s$ ) against velocity ( $v$ ) will be a parabolic curve.
Conclusion: The correct graph corresponding to this motion is a parabola. Assuming the option labeled '4.' depicts a parabola (as per standard solutions for this AIIMS PYQ), it is the correct representation.

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