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A particle starts from the origin at t = 0 s with a velocity of 10.0 $\hat{j}$ m/s and moves in the x-y plane with a constant acceleration of $(8 \hat{i} + 2 \hat{j}) {ms}^{- 2}$ . The y coordinate of the particle in 2 sec is___

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16 m

8 m

24 m

12 m

answer is A.

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Detailed Solution

$Initial velocity = 10 \hat{j}$

$acceleration = 8 \hat{i} + 2 \hat{j}$

$y coordinate of the body after 2 \sec$

$u_{y} t + \frac{1}{2} a_{y} t^{2}$

$10 \times 2 + \frac{1}{2} 2 \times 2^{2} = 24 m$

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