Question

Match the statements of Column A with those of Column B.

Column A	Column B
(A) Area under acceleration-time graph	(a) Velocity
(B) Area under velocity-time graph	(b) Acceleration
(C) Slope of velocity-time graph	(c) Displacement

• A. A → a; B → c; C → b
• B. A → b; B → c; C → b
• C. A → c; B → a; C → b
• D. A → c; B → a; C → c

Answer 1

The correct option is A

A → a; B → c; C → b

Part A:

1. Area under acceleration-time graph gives velocity.
2. Velocity is rate of change of displacement per time.
3. Hence, A$\to$a

Part B:

1. Area under velocity-time graph gives displacement.
2. Displacement is the shortest path between initial and final point.
3. Hence, B$\to$c

Part C:

1. Slope of velocity-time graph gives acceleration.
2. Acceleration is rate of change of velocity per time.
3. Hence, C$\to$c

Hence the correct option is (A) A → a; B → c; C → b.