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Unformatted text preview: Therefore, all the equations derived in the previous section are valid once the scalar-valued functions are turned into vector-valued ones. As an example, consider the position function x (t) = a t 2 + v t + x , where a = (0, 0, - g) , v = (v x , 0, v z ) , and x = (0, 0, h) . The above vector equation for position can be broken down into three one-dimensional equations: x(t) = v x t, y(t) = 0, z(t) = - gt 2 + v z t + h...
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- Fall '09