but i remember, if the discriminant is 0, i.e. x IS √a(a+2b) then the value of ax^2 + bx + c = 0, is -b/2a
i.e.
]]>Basicly, a projectile is fired with initial speed u = √ag where a is a constant, and g is acceleration due to gravity, at angle θ.
it is fired off of a cliff of height b metres.
the first part is to show that:
i did this ok, and then the next part is this:
Show that the maximum value of x (i.e. the value of x when it hits ground at bottom of cliff) as θ varies is
.i also did this fine after a bit of thought, however i can't quite get the last part.
Show that this is achieved when
this is where i get stuck, anyone help?
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