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IAT IISER2022PhysicsMotion in One Dimension

A particle experiences an acceleration a = v , where v is the velocity of the particle and is a constant. If the distances traveled by the particle in the time intervals t₂-t₁ and t₃-t₁ are S₁₂ and S₁₃ , respectively, which of the following relations is true?

Options

  1. AS₁₃ S₁₂ = [ (t₃-t₁ ) ]-1 [ (t₂-t₁ ) ]-1
  2. BS₁₃ S₁₂ = [ (t₃-t₁ ) ] [ (t₂-t₁ ) ]
  3. CS₁₃ S₁₂ = [ (t₃-t₁ ) ] [ (t₂-t₁ ) ]
  4. DS₁₃ S₁₂ = [ (t₃-t₁ ) ]-1 [ (t₂-t₁ ) ]-1

Correct answer

D. S₁₃ S₁₂ = [ (t₃-t₁ ) ]-1 [ (t₂-t₁ ) ]-1

Step-by-step solution

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