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Q45 (NDA-II/2011) Science & Technology › Basic Science (Physics, Chemistry, Biology) › Basic mechanics concepts Answer Verified

A body is thrown upward against the gravity ‘g’ with initial velocity ‘u’. Which one among the following is the correct expression for its final velocity when attains the maximum height ?

Result
Your answer: —  ·  Correct: D
Explanation

When a body is thrown vertically upward with an initial velocity 'u' against gravity 'g', it undergoes constant deceleration. According to the principles of vertical motion, the object slows down as it rises until it stops momentarily at the peak of its trajectory [c1]. This point of instantaneous rest corresponds to the maximum height reached by the object [t3]. At this specific point, the final velocity (v) is exactly zero [t2][t5]. The provided options (1) u^2/(2g), (2) 2g/u^2, and (3) u^2g/2 represent expressions related to displacement or height calculations rather than velocity. For instance, the expression u^2/(2g) is the formula for the maximum height (h) derived from the kinematic equation v^2 = u^2 - 2gh when v=0 [t5][t7]. Since none of the numerical options correctly state that the final velocity is zero, the correct choice is 'None of these'.

Sources

  1. [1] Science ,Class VIII . NCERT(Revised ed 2025) > Chapter 5: Exploring Forces > Activity 5.8: Let us observe > p. 72
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