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A body of $3 k g$ moves in $X − Y$ plane under the action of force given by $6 t i ∧ + 4 t j ∧ .$ Assuming that the body is at rest at time $t = 0,$ the velocity of the body at $t = 3 s$ is

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12 i ∧ + 68 j ∧

9 i ∧ + 6 j ∧

18 i ∧ + 12 j ∧

18 i ∧ + 6 j ∧

answer is A.

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Detailed Solution

∫ F d t = m (v − u) ⇒ 6 ∫ t d t i^+ 4 ∫ t d t j^= 3 v →

⇒ 292 i^+ 432 j^= v →

⇒ v → = 9 i^+ 6 j^

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