Q.

Two particles are thrown simultaneously from points A and B with velocities u1=2 ms−1 and u2=14 ms−1, respectively, as shown in figure. The relative velocity of B as seen from A isThe direction (angle) with horizontal at which B will appear to move as seen from A is Minimum separation between A and B is

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a

−82i^+62j^

b

42i^+33j^

c

35i^+23j^

d

32i^+43j^

e

37o

f

53o

g

15o

h

90o

i

3 m

j

6 m

k

12 m

l

9 m

answer is , , .

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Detailed Solution

VB,A=VB−VA=−14cos⁡45∘i^+14sin⁡45∘j^−2cos⁡45∘i^−2sin⁡450j^=−162i^+122j^=−82i^+62j^tan⁡ϕ=6282⇒tan⁡ϕ=34⇒ϕ=37∘x+927=tan⁡37∘=3/4⇒ x=454mShortest distanceAM=xsin⁡53∘=454×45=9m
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Two particles are thrown simultaneously from points A and B with velocities u1=2 ms−1 and u2=14 ms−1, respectively, as shown in figure. The relative velocity of B as seen from A isThe direction (angle) with horizontal at which B will appear to move as seen from A is Minimum separation between A and B is