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Physics · MOTION IN A STRAIGHT LINE

हिन्दी

A body starting from rest moves along a straight line with uniform acceleration. It covers a distance \( x_1 \) in the first \( t \) seconds and an additional distance \( x_2 \) in the next \( t \) seconds. The relation between \( x_1 \) and \( x_2 \) is:

  1. \( x_2 = x_1 \)
  2. \( x_2 = 2x_1 \)
  3. \( x_2 = 3x_1 \)
  4. \( x_2 = 4x_1 \)

Correct answer · Option 3

\( x_2 = 3x_1 \)

Explanation

Distance in first \( t \) seconds is \( x_1 = \frac{1}{2}at^2 \). Total distance in \( 2t \) seconds is \( x_1 + x_2 = \frac{1}{2}a(2t)^2 = 4x_1 \). Hence, \( x_2 = 3x_1 \).
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