Assertion (A): Displacement of a body is vector sum of the area under velocity-time graph.
Reason (R): Displacement is a vector quantity.
Solution:
The area under a velocity-time graph indeed represents displacement, considering areas above the time axis as positive and below as negative, which is a vector sum.
Displacement is a vector quantity, meaning it has both magnitude and direction. This vector nature directly explains why the signed area (vector sum) under the velocity-time graph yields displacement.
Both (A) and (R) are true, and (R) correctly explains (A).
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