Two particles A and B are moving with velocities V→A=(xi^+6j^)ms−1 and V→B=(3i^+2j^)ms−1. The value of x such that the relative speed of A with respect to B is 5 ms-1, should be

v→rel=vA→-vB→=x-3i^+4j^⇒v→rel2=x-32+42=52⇒x-32=52-42=32⇒x=6

Two particles A and B are moving with velocities V→A=(xi^+6j^)ms−1 and V→B=(3i^+2j^)ms−1. The value of x such that the relative speed of A with respect to B is 5 ms-1, should be

v→rel=vA→-vB→=x-3i^+4j^⇒v→rel2=x-32+42=52⇒x-32=52-42=32⇒x=6

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Two particles A and B are moving with velocities ${\vec{V}}_{A} = (x \hat{i} + 6 \hat{j}) {ms}^{- 1}$ and ${\vec{V}}_{B} = (3 \hat{i} + 2 \hat{j}) {ms}^{- 1}$ . The value of x such that the relative speed of A with respect to B is $5 {ms}^{- 1}$ , should be

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${\vec{v}}_{rel} = \vec{v_{A}} - \vec{v_{B}} = (x - 3) \hat{i} + 4 \hat{j}$

$\Rightarrow {|{\vec{v}}_{rel}|}^{2} = {(x - 3)}^{2} + 4^{2} = 5^{2}$

$\Rightarrow {(x - 3)}^{2} = 5^{2} - 4^{2} = 3^{2}$

$\Rightarrow x = 6$

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Two particles A and B are moving with velocities V→A=(xi^+6j^)ms−1 and V→B=(3i^+2j^)ms−1. The value of x such that the relative speed of A with respect to B is 5 ms-1, should be

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Two particles A and B are moving with velocities ${\vec{V}}_{A} = (x \hat{i} + 6 \hat{j}) {ms}^{- 1}$ and ${\vec{V}}_{B} = (3 \hat{i} + 2 \hat{j}) {ms}^{- 1}$ . The value of x such that the relative speed of A with respect to B is $5 {ms}^{- 1}$ , should be