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Match-Column-I with Column-II : Column-I (x-t graphs) (A) x vs t graph: x starts from origin and rises with increasing slope, concave upward. (B) x vs t graph: x starts from x0 and decreases rapidly at first, then approaches the t-axis asymptotically. (C) x vs t graph: x starts from origin, rises linearly to a peak, then falls linearly back to the t-axis. (D) x vs t graph: x starts from origin and rises linearly with time. Column-II (v-t graphs) (I) v vs t graph: constant positive velocity (horizontal line above t-axis). (II) v vs t graph: velocity increases linearly from zero with time. (III) v vs t graph: velocity is constant positive for a while, then constant negative for a while (step-like change). (IV) v vs t graph: velocity starts negative and increases toward zero asymptotically. Choose the correct answer from the options given below :

1. A-I, B-III, C-IV, D-II
2. A-II, B-III, C-IV, D-I
3. A-I, B-II, C-III, D-IV
4. A-II, B-IV, C-III, D-I

Correct answer: A-II, B-IV, C-III, D-I

Solution

The correct matches reflect the relationships between position and velocity over time: A-II indicates constant acceleration, B-IV shows a decreasing position approaching a limit, C-III represents a peak position followed by a return to the axis, and D-I signifies constant motion.

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