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Physics · MOTION IN A STRAIGHT LINE

हिन्दी

A particle starts from rest and moves along a straight line with a constant acceleration \( a \). What is the ratio of the distance traversed by the particle during the \( 3^{\text{rd}} \) second to that traversed during the \( 2^{\text{nd}} \) second?

  1. \( 5/3 \)
  2. \( 3/2 \)
  3. \( 9/4 \)
  4. \( 5/4 \)

Correct answer · Option 1

\( 5/3 \)

Explanation

Distance traversed in \( n^{\text{th}} \) second for initial rest is \( S_n = \frac{a}{2}(2n - 1) \). For \( n = 3 \), \( S_3 = \frac{5a}{2} \). For \( n = 2 \), \( S_2 = \frac{3a}{2} \). Ratio \( \frac{S_3}{S_2} = \frac{5}{3} \).
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