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Q.

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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a

Shell may hit the ground at point A.

b

Shell may hit the ground at point B.

c

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

d

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

answer is B.

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Detailed Solution

V→s/G=V→s/A+V→A/GHorizontal 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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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)