Question 197127
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The height function for an object in vertical motion (foot-pound-second units) is:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ h(t) = -16t^2 + v_ot + h_o]


where *[tex \LARGE v_o] is the initial velocity and *[tex \LARGE h_o] is the initial height.


For this problem, the initial height is 25 feet and the initial velocity is 0, hence for the first bird:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ h(t) = -16t^2 + 25]


And since the second bird dropped his shell 0.2 seconds later:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ h(t) = -16(t - 0.2)^2 + 25] where the domain is *[tex \LARGE \{t | t \in \R, t \geq 0.2\}]



John
*[tex \LARGE e^{i\pi} + 1 = 0]
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