The King's Dominion Intimidator is a "gigacoaster". Gigacoasters are roller coasters whose first hill is between 300 ft and 399 ft. The Intimidator is 305 ft tall.

The first drop is 300 ft (91 m). How fast does the coaster travel when it reaches the bottom of that first drop? Neglect friction.

Do not use the final equations, but rather re-derive everything, just as they did.

(Note that you need not know that mass of the roller coaster train to answer this question)