Consider a shell that has a muzzle velocity of 45 ms^-1 fired from the tail gun of an airplane moving horizontally with a velocity of 215 ms^-1. The tail gun can be directed at any angle with the vertical in the plane of motion of the airplane. The shell is fired when the plane is above point A on ground, and the plane is above point B on ground when the shell hits the ground. (Assume for simplicity that the Earth is flat)

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Shell may hit a point on earth which is behind point A.

Shell may hit the ground at point B.

Shell may hit the ground at point A.

Shell may hit a point on earth which is ahead of point B.

answer is B, D.

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Detailed Solution

${\vec{V}}_{s / G} = {\vec{V}}_{s / A} + {\vec{V}}_{A / G}$

Horizontal component of velocity of shell wrt ground will be in the range of 170 m/s to 260 m/s and the direction of velocity of air plane.

If air resistance is not there the shell may hit ground between A and B, or at B , or ahead of point B.

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