Kinematics 3 Question 8
8. Airplanes $A$ and $B$ are flying with constant velocity in the same vertical plane at angles $30^{\circ}$ and $60^{\circ}$ with respect to the horizontal respectively as shown in figure. The speed of $A$ is $100 \sqrt{3} ms^{-1}$. At time $t=0 s$, an observer in $A$ finds $B$ at a distance of $500 m$. This observer sees $B$ moving with a constant velocity perpendicular to the line of motion of $A$. If at $t=t _0, A$ just escapes being hit by $B, t _0$ in seconds is
(2014 Adv.)
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Answer:
Correct Answer: 8. (5)
Solution:
- Relative velocity of $B$ with respect to $A$ is perpendicular to line $P A$. Therefore, along line $P A$, velocity components of $A$ and $B$ should be same.
