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If a particle moves along a line by the law $S = 2 t^{3} + 9 t^{2} - 12 t + 6$ then the displacement at t = 2 sec. is ____ units

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Detailed Solution

$s = 2 t^{3} + 9 t^{2} - 12 t + 6$

$t = 2, s = 2 (8) + 9 (4) - 12 (2) + 6$

$s = 16 + 36 - 24 + 6$

$s = 34$

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