AIIMS 2019 Physics Kinematics MCQ Question
The velocity of projection of a body is increased by 2%. Other factors remaining unchanged, what will be the percentage change in the maximum height attained?
1%
2%
4%
8%
Correct Answer
Detailed Explanation
The calculation shows that the relative change in maximum height (Δh/h) is proportional to the square of the relative change in initial velocity (Δu/u), specifically Δh/h = 2(Δu/u). Given that Δu/u is 2%, substituting this into the equation yields Δh/h = 2 × 2% = 4%. This demonstrates how small changes in initial velocity can significantly affect the maximum height achieved in projectile motion. Other options are not applicable as they do not provide relevant information or calculations related to the problem.
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