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Physics · MOTION IN A STRAIGHT LINE

हिन्दी

An object dropped from rest under gravity acquires a speed \( v_1 \) after falling through a vertical distance \( h_1 \). To acquire a speed of \( 2 v_1 \), through what total vertical distance \( h_2 \) must it fall from rest?

  1. \( 8 h_1 \)
  2. \( 2 h_1 \)
  3. \( 4 h_1 \)
  4. \( \sqrt{2} h_1 \)

Correct answer · Option 3

\( 4 h_1 \)

Explanation

From \( v^2 = 2gh \), we have \( h \propto v^2 \). Therefore, \( \frac{h_2}{h_1} = (\frac{2v_1}{v_1})^2 = 4 \implies h_2 = 4 h_1 \).
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