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ive started Mech 2 as an additional module that i don't actually need, but i want to do anyways, but im having trouble with one of the questions on projectiles.
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?
Last edited by luca-deltodesco (2007-03-20 05:58:10)
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ah wait, i figured it out, i was trying to solve this by simply plugging the value of x = √a(a+2b) into the equation, but it got very messy.
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.
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what is x anyway?
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x and y are just the x and y displacements
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Last edited by JaneFairfax (2007-03-20 10:06:26)
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a different way of doing it, but with same results
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