A gun is mounted on a plateau at point B 960 m away from its edge as shown. Height of plateau is 960 m The gun can fire shells with a velocity of 
at any angle. What is the minimum distance (in m) AP from the edge of plateau where the shell of gun can reach? 
Text Solution
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P is point on plane for shell when it passes near edge of plateau for greater angle of projection. In region AP shell cannot hit
Equation of trajectory for projectile
For point 
and 
for 
is least
Now, equation of trajectory becomes,
for landing point on plane 
solving we get acceptable solution 
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