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JEE Advanced Model Paper 8 with solutions for online practice
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© examsnet.com
Question : 62
Total: 84
particle is projected from the trolley with a velocity
v
^
i
+
2
v
^
j
+
v
^
k
relative to theground. x-y plane is horizontal. Trolley moves with a constant velocity
3
v
^
i
for sometime and then starts moving towards + y axis with constant velocity. After some timethe particle drops into the trolley. The magnitude of the velocity of the trolley along yaxisis :
3v
2v
v
0.5v
Validate
Solution:
Velocity of particle w.r.t the ground is
v
^
i
+ 2
v
^
j
+
v
^
k
. Time of flight of the particle is
2
v
g
Co-ordinate of the particle at this instant x = v
(
2
v
g
)
, y = 2v
(
2
v
g
)
Time taken by the trolley to reach the x is 3v × t = x , in the remaining time it should cover y coordinate.
© examsnet.com
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