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TS EAMCET · Physics · Motion In One Dimension

An object moves in a straight line with deceleration whose magnitude varies with velocity as \(3 v^{2 / 3}\). If at an initial point, the velocity is \(8 \mathrm{~m} / \mathrm{s}\), then the distance travelled by the object before it stops is

  1. A \(2 \mathrm{~m}\)
  2. B \(4 \mathrm{~m}\)
  3. C \(6 \mathrm{~m}\)
  4. D \(8 \mathrm{~m}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(4 \mathrm{~m}\)

Step-by-step Solution

Detailed explanation

Given that, \(a=\) deceleration \(=-3 v^{2 / 3} \mathrm{~m} / \mathrm{s}^2\) At initial point \((t=0)\) velocity \(=8 \mathrm{~m} / \mathrm{s}\) Distance travelled by the object before it stop is We know that,…
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