Two particles A and B moving in x-y plane are at origin at t = 0 sec. The initial velocity vectors of A and B are $\vec{u_{A}} = 8 \hat{i}$ m/s and $\vec{u_{B}} = 8 \hat{j}$ m/s. The acceleration of A and B are constant and are $\vec{a_{A}} = - 2 \hat{i}$ $m / s^{2}$ and $\vec{a_{B}} = - 2 \hat{j}$ $m / s^{2}$ . Column I gives certain statements regarding particle A and B. Column-II gives corresponding results. Match the statements in column I with corresponding results in Column II.

Column-I
Column-II
A) The time (in seconds) at which velocity of A relative to B is zero p) $16 \sqrt{2}$
B) The distance (in metres) between A and B when their relative velocity is zero. q) $8 \sqrt{2}$
C) The time (in seconds) after t = 0 sec, at which A and B are at same position r) 8
D) The magnitude of relative velocity of A and B at the instant they are at same position. s) 4

Question

Two particles A and B moving in x-y plane are at origin at t = 0 sec. The initial velocity vectors of A and B are $\vec{u_{A}} = 8 \hat{i}$ m/s and $\vec{u_{B}} = 8 \hat{j}$ m/s. The acceleration of A and B are constant and are $\vec{a_{A}} = - 2 \hat{i}$ $m / s^{2}$ and $\vec{a_{B}} = - 2 \hat{j}$ $m / s^{2}$ . Column I gives certain statements regarding particle A and B. Column-II gives corresponding results. Match the statements in column I with corresponding results in Column II.

Column-I		Column-II
A)	The time (in seconds) at which velocity of A relative to B is zero	p)	$16 \sqrt{2}$
B)	The distance (in metres) between A and B when their relative velocity is zero.	q)	$8 \sqrt{2}$
C)	The time (in seconds) after t = 0 sec, at which A and B are at same position	r)	8
D)	The magnitude of relative velocity of A and B at the instant they are at same position.	s)	4

Infinity Learn · Accepted Answer

A-s; B-q; C-r; D-Q;

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