Graphs of Motion: Practice Problem & Solution
Assertion (A): In one dimensional motion, area under velocity-time graph gives change in position i.e., displacement. Reason (R): In one dimensional motion, area under acceleration-time graph gives final velocity.
Solution Explained:
To solve this problem, we apply the core principles of Graphs of Motion. Understanding the underlying formula is key to arriving at the correct answer below:
Area under v-t graph = displacement; Area under a-t graph = change in velocity.
Solution: (A) is true as area under v-t graph is displacement. (R) is false as area under a-t graph gives change in velocity, not final velocity. So, (A) is true and (R) is false.
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