SATHEE: Motion in a Straight Line

Motion in a Straight Line - Result Question 12

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

[2012]

(a) $9 \sqrt{2}$ units

(b) $5 \sqrt{2}$ units

(d) 9 units

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Answer:

Correct Answer: 12. (b)

Solution:

(b) $\vec{v} = \vec{u} + \vec{a} t$

$v = (2 \hat{i} + 3 \hat{j}) + (0.3 \hat{i} + 0.2 \hat{j})^{'} 10 = 5 \hat{i} + 5 \hat{j}$

$| \vec{v} | = \sqrt{5^{2} + 5^{2}}$

$| \vec{v} | = 5 \sqrt{2}$

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Motion in a Straight Line - Result Question 12

12. A particle has initial velocity (2i→+3j→) and acceleration (0.3i→+0.2j→). The magnitude of velocity after 10 seconds will be :

Answer:

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