Question:medium

If the distance travelled by a particle in \(t\) seconds is given by \(S = 72t + 3t^2 - t^3\), then the time taken by the particle to come to rest is:

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“Coming to rest” mathematically translates directly to setting the first derivative \(\frac{dS}{dt} = 0\). Always make sure to filter out negative time solutions at the end of quadratic calculations since time cannot run backwards.
Updated On: Jul 8, 2026
  • 4 seconds
  • 6 seconds
  • 3 seconds
  • 0 seconds
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The Correct Option is B

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