A particle has initial velocity (2i + 3j) and acceleration (0.3i + 0.2j). The magnitude of velocity after 10 seconds will be (a) 9√(2) (b) 5√(2) (c) 5 units (d) 9 units

Answer: (b). v = u + a t = (2 + 0.3×10) i + (3 + 0.2×10) j = 5 i + 5 j | v| = √(25 + 25) = 5√2 So the answer is (b) 5√2.

A particle has initial velocity (2i + 3j) and acceleration (0.3i +… | NEET 2012 (AIPMT, Prelims)

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Motion in a Plane (2-D Kinematics)

A particle has initial velocity $\left(2\vec{i} + 3\vec{j}\right)$ and acceleration $\left(0.3\vec{i} + 0.2\vec{j}\right)$ . The magnitude of velocity after 10 seconds will be

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Answer: (b)

$\vec v = \vec u + \vec a t = (2 + 0.3\times10)\hat i + (3 + 0.2\times10)\hat j = 5\hat i + 5\hat j$
$|\vec v| = \sqrt{25 + 25} = 5\sqrt2$
So the answer is (b) $5\sqrt2$ .

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Motion in a Plane (2-D Kinematics) question from NEET 2012 (AIPMT, Prelims)

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