Physics · MOTION IN A STRAIGHT LINE
हिन्दीAn 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?
Correct answer · Option 3
\( 4 h_1 \)
Explanation
From \( v^2 = 2gh \), we have \( h \propto v^2 \). Therefore, \( \frac{h_2}{h_1} = (\frac{2v_1}{v_1})^2 = 4 \implies h_2 = 4 h_1 \).