An aeroplane is flying with speed 60 m/s at angle 30^owith the horizontal. A shell is fired horizontally from the aeroplane. Find the direction and magnitude of velocity of the
shell so that it falls vertically along a straight line with respect to the observer on the ground.

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at angle 30^o with the horizontal opposite to motion of plane with velocity 60 m/s

at angle 30^owith the horizontal opposite to motion of plane with velocity $30 \sqrt{3} m / s$ .

horizontally opposite to motion of plane with velocity 60 m/s

horizontally opposite to motion of plane with velocity $30 \sqrt{3} m / s$

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 horizontal

$v_{B} = 30 \sqrt{3} m / s$

horizontally opposite to motion of plane.

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