As shown below, a package is dropped from a plane that is gaining altitude at an angle of $30$ degrees to horizontal, with a speed of $50$ $m/s$, at an current altitude of $h = 500$ $m$.

Neglecting air resistance, what is the position of the package as a function of time starting from the instant that the package is dropped, and with reference to a coordinate frame located directly below the plane on the ground (as shown)?

A. $p=[(500-(1/2)9.81t^2)j]m$
B. $p=[(50t)i + (500+25t-(1/2)9.81t^2)j]m$
C. $p=[(25\sqrt3t)i+(500+25t-(1/2)9.81t^2)j]m$
D. $p=[(25\sqrt3t)i+(500-(1/2)9.81t^2)j]m$
E. $p=[(25\sqrt3t)i + (500-25t-(1/2)9.81t^2)j]m$