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Physics · MOTION IN A STRAIGHT LINE

हिन्दी

A car of a particular make travelling at \( 15\text{ m/s} \) requires a braking distance of \( 20\text{ m} \) to come to rest. Assuming the same maximum braking capacity (deceleration), what will be its braking distance when travelling at \( 30\text{ m/s} \)?

  1. \( 30\text{ m} \)
  2. \( 80\text{ m} \)
  3. \( 60\text{ m} \)
  4. \( 40\text{ m} \)

Correct answer · Option 2

\( 80\text{ m} \)

Explanation

Braking distance \( d \propto v^2 \). Since velocity is doubled from \( 15\text{ m/s} \) to \( 30\text{ m/s} \), distance increases by a factor of \( 2^2 = 4 \). New braking distance = \( 20 \times 4 = 80\text{ m} \).
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