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NDA 2025 · PYQ · Kinematics / Equations of Motion · medium

Which one of the following equations related to the motion of an object is NOT correct? (Symbols carry their usual meanings)

  1. A.s = ut + ½at²
  2. B.u = v − at
  3. C.u² − v² = 2as✓ Correct
  4. D.Distance travelled during nth second = u + ½a(2n − 1)

Explanation

The correct kinematic equations of motion for uniformly accelerated motion are: (1) v = u + at, (2) s = ut + ½at², (3) v² − u² = 2as (NOT u² − v² = 2as), and (4) distance in nth second = u + ½a(2n − 1). Option (a) is correct, option (b) is correct (rearrangement of v = u + at gives u = v − at), option (d) is correct, but option (c) is incorrect because the correct form is v² − u² = 2as, not u² − v² = 2as.
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