SATHEE: Kinematics 3 Question 8

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 $100 \sqrt{3} m s^{- 1}$ . 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.

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Kinematics 3 Question 8

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