NEETPhysicsMotion in One Dimension
Match Column-I with Column-II : Column-I (x-t graphs) Column-II (v-t graphs) (A) (I) (B) (II) (C) (III) (D) (IV) Choose the correct answer from the options given below:
Options
- AA- II B-IV, C-III, D-I
- BA- I. B-II, C-III, D-IV
- CA- II B-III, C-IV, D-I
- DA- I, B-III. C-IV, D-II
Correct answer
A. A- II B-IV, C-III, D-I
Step-by-step solution
(A) Here, the slope d x d t ≥ 0 is always increasing, and we know that the derivative graph of the parabola is straight line, so the graph of velocity-time is straight line with increasing slope. ( A - I I ) (B) Here, the slope d x d t < 0 and at t → ∞ , d x d t → 0 . As the slope is decreasing with time, so the graph of velocity-time will have negative velocity and positive slope. ( B - I V ) (C) Here, the slope d x d t > 0 for first half and dx dt < 0 for second half . As the slope of displacement-time is positiv