You are assigned to design a ride for an amusement park. The ride drops riders from the top of a tall tower and let's them free fall for a short time before bringing them to a stop. For the riders' safety, you must make sure the riders do not experience an acceleration greate than 2g. Assume the riders have a constant acceleration while they slow down and come to a stop. If the riders are to free fall for 2.5 seconds, what is the minimum height of the tower?