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| To answer this question we must first determine the position function, x(t) , which means we must find v0 and x0 . We can choose the x -axis to point in the direction of the creature's horizontal movement across the earth. This means that the creature's movement will be constrained to the x -z plane, and so we can completely ignore the y -direction, effectively reducing our problem to two dimensions. (In fact, using this kind of trick we can always reduce projectile motion problems to two dimensions!) From the initial speed and angle of projection, we can determine that v0 = (vcosq, 0, vsinq) . Since the canon is fired from the surface of the earth, we can set x0 = 0 (where 0 = (0,0,0) , the zero-vector). |
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