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A particle moves so that x=2+27t-`t^(3)`. The direction of motion reverses after moving a distance of . . . Units.A. 80B. 56C. 60D. 65 |
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Answer» Correct Answer - B We have, `x = 2 + 27t - t^(2)` `implies (dx)/(dt) = 27 - 3t^(2)` since, direaction will be reverse, `:. (dx)/(dt) = 0` `implies 27 - 3t^(2) = 0` `implies t = 3` `:.` Distance `x 2 + 27t - t^(3)` `= 2 + 27 xx 3 - (3)^(3)` `= 2 + 81 - 27 = 56` units |
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