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3-2.Motion in Plane
medium
Two particles $A$ and $B$ are moving in horizontal plane as shown in figure at $t = 0$ , then time after which $A$ will catch $B$ will be.......$s$

A
$4$
B
$5$
C
$2$
D
$8$
Solution
To catch $\left(\mathrm{v}_{\mathrm{y}}\right)_{\mathrm{A}}=\left(\mathrm{v}_{\mathrm{y}}\right)_{\mathrm{B}}$
$\Rightarrow v \sin 37^{\circ}=30$
$\Rightarrow \mathrm{v}=\frac{30}{3 / 5}=50 \mathrm{m} / \mathrm{s}$
Time taken $=\frac{200}{v \cos 37^{\circ}}=5 \mathrm{s}$
Standard 11
Physics