Solve the Problem $\mathrm { P } ( \mathrm { t } ) = 5 \mathrm { t } ^ { 2 } + 28$

Solve the problem.
-A rocket is stopped 28 feet from a satellite when it begins accelerating away from the satellite at a constant rate of 10 feet per second per second. The distance between the rocket and the satellite is given by the polynomial $\mathrm { P } ( \mathrm { t } ) = 5 \mathrm { t } ^ { 2 } + 28$ . Find the distance between the rocket and the satellite 9 seconds after the rocket started moving.

A) $109 \mathrm { ft }$
B) $73 \mathrm { ft }$
C) $405 \mathrm { ft }$
D) $433 \mathrm { ft }$