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Unformatted text preview: x (t) = (0, 0, - g)t 2 + (v cosθ, 0, v sinθ)t The y -equation is pretty much useless. If we break this up into x - and z -components we get: x(t) = v cosθt z(t) = v sinθt - gt 2 The next step is to find that time at which the creature will hit the ground. Setting z(t) = 0 and solving for t we find that the time at which the creature will hit the ground is t f = . Finally, we need to plug this time into the equation for the x -position, to see how far the creature has traveled horizontally in this time. x(t f ) = Using the trig identity sin(2θ) = 2 sinθcosθ we find that when the creature hits the ground its distance from the canon will be: x(t f ) =...
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- Fall '09
- Trigonometry, canon