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Question: Answered & Verified by Expert
Two particles are simultaneously thrown from the top of two towers as shown. Their velocities are 2 m s-1 and 14 m s-1. Horizontal and vertical separations between these particles are 22 m and 9 m respectively. Then the minimum separation between the particles in the process of their motion in meters is (g = 10 m s-2)
Picture 331
PhysicsMotion In Two DimensionsJEE Main
Solution:
1006 Upvotes Verified Answer
The correct answer is: 6

vx=82m s-1= relative velocity along x-axis
x=22-82t
vy=62m/s= relative velocity along the y-axis
y=9-62t
r=x2+y2
For minimum r,
drdt=0t=23102 s 

r=x2+y2

substituting the value of t in r rmin=6 m

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