The vertical position of an object can be approximated at any given time by the function

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The vertical position of an object can be approximated at any given time by the function \(p(t)=rt−5t^2+b,\) where \(p(t)\) is the vertical position in meters, \(t\) is the time in seconds, and \(r\) and \(b\) are constants. If \(p(2) = 41\) and \(p(5) = 26,\) what is \(p(4)?\)

(A) \(24\)
(B) \(26\)
(C) \(39\)
(D) \(41\)
(E) \(45\)

[spoiler]OA=D[/spoiler]

Source: Manhattan GMAT
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