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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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