Q.
An aeroplane is flying with speed 60 m/s at angle 30o with the horizontal. A shell is fired horizontally from the aeroplane. Find the direction and magnitude of velocity of theshell so that it falls vertically along a straight line with respect to the observer on the ground.
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a
horizontally opposite to motion of plane with velocity 303m/s
b
horizontally opposite to motion of plane with velocity 60 m/s
c
at angle 30o with the horizontal opposite to motion of plane with velocity 60 m/s
d
at angle 30o with the horizontal opposite to motion of plane with velocity 303m/s.
answer is A.
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Detailed Solution
Component of velocity of aeroplane in vertical and horizontal directions are shown in the figure.For the shell to fall along a straight line with respect to the observer on the ground , horizontal component of velocity of shell with respect to ground must be zero.For this shell must be fired horizontal opposite direction with speed of aeroplane in horizontalvB=303m/shorizontally opposite to motion of plane.
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