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

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