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Homework Statement
some ocr m2 questions
Homework Equations
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P]
]
]
]
b]
]
]
]
]
O]-----------------------------------------------Q
x
A BULLETis fired at position P with speed √ag (g=9.8) at an angle z above the horizontal, where a is a constant. P is at vertical height b ablve the horizontal plane. The bullet strikes the plane at the point Q and O is the point at the level of the plane vertically below P, as shown. Letting OQ=x
x^2 tan z - 2axtan z +( x^2 -2ab) =0
show maximum value of x as z varies is √ a(a+2b) and that is archieved when Tan Z =√ a/a+2b