InterviewSolution
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InterviewSolution
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A hunter aims his gun and fires a bullet directly at a monkey on a tree. At the instant the bullet leaves the barrel of the gun, the monkey drops. Will the bullet hit the monkey ? |
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Answer» Solution :Horizontal distance TRAVELLED `OB =x=ucos THETA t` or `t=x/(u cos theta)` For motion of BULLET from O to B, the vertical height `AB=u sin thetat -1/2 "gt"^(2)` `=u sin theta (x/(u cos theta)) -1/2"gt"^(2) =x tan theta -("gt"^(2))/2`…….(i) Also from figure MB `=x tan theta` Now, the height through which monkey falls y=MA =MB -AB `=x tan theta -(x tan theta -("gt"^(2))/2) =1/2 "gt"^(2)`  Thus, in time t the bullet passes through A a vertical distance `1/2"gt"^(2)` below M. The vertical distance through which the monkeyfall in time t. `s=1/2"gt"^(2)` Thus, the bullet and the monkey will always reach at POINT A at the same time. |
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