MHT CET2019Evening ShiftMathematicsApplication of DerivativesActual

A particle moves so that x = 2 +27t- t 3 . The direction of motion reverses after moving a distance of … units.

Options

Correct answer

B. 56

Step-by-step solution

We have, x = 2 + 27 t - t 3 ⇒ d x d t = 27 - 3 t 2 Since, direction will be reverse, ∴ d x d t = 0 ⇒ 27 - 3 t 2 = 0 ⇒ t = 3 ∴ Distance x = 2 + 27 t - t 3 = 2 + 27 × 3 - 3 3 = 2 + 81 - 27 = 56 units

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