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Question 5140
NEET Physics · Hard

Basic Mathematics & Vectors: Calculus Applications MCQ

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Calculus ApplicationsHardQuestion 5140

Question

If v = u + at (where u, a are constants), then the displacement from t = 0 to t = T is:
  1. A
    uT + aT²
  2. B
    uT + (1/2)aT²
    Correct
  3. C
    uT − (1/2)aT²
  4. D
    (1/2)aT²

Correct answer

uT + (1/2)aT²

Explanation

s = ∫₀ᵀ (u + at) dt = [ut + at²/2]₀ᵀ = uT + (1/2)aT². This is the standard kinematic equation.

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