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NEET2016PhysicsMotion in One DimensionActual

If the velocity of a particle is υ = A t + B t 2 , where A and B are constants, then the distance travelled by it between 1     s and 2     s is:

Options

  1. A3 2 A + 4 B
  2. B3 A + 7 B
  3. C3 2 A + 7 3 B
  4. DA 2 + B 3

Correct answer

C. 3 2 A + 7 3 B

Step-by-step solution

V = A t + B t 2 X = ∫ 0 t V d t ⇒ X = A t 2 2 + B t 3 3 t = 1 X 1 = A 2 + B 3 t = 2 X 2 = 2 A + 8 B 3 X 2 - X 1 = 3 A 2 + 7 B 3

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