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Physics · MOTION IN A STRAIGHT LINE
हिन्दीA vehicle traveling at speed \( v_0 \) requires a minimum stopping distance \( d_s \) under maximum braking deceleration \( a \). If the initial speed is increased by \( 60\% \) while the braking acceleration is increased by \( 28\% \), by what percentage does the minimum stopping distance increase?
Correct answer · Option 3
\( 100\% \)
Explanation
Stopping distance \( d_s = \frac{v_0^2}{2a} \). New distance \( d_s' = \frac{(1.6 v_0)^2}{2(1.28 a)} = \frac{2.56 v_0^2}{2.56 a} = 2 d_s \). The percentage increase is \( \frac{2d_s - d_s}{d_s} \times 100\% = 100\% \).
