The brothers of iota eta pi fraternity build a platform, supported at all four corners by vertical springs, in the basement of their frat house. a brave fraternity brother wearing a football helmet stands in the middle of the platform; his weight compresses the springs by a distance 0.16m . then four of his fraternity brothers, pushing down at the corners of the platform, compress the springs another distance 0.57m until the top of the brave brother's helmet is a distance 0.80m below the basement ceiling. they then simultaneously release the platform. you can ignore the masses of the springs and platform.

a) when the dust clears, the fraternity asks you to calculate their fraternity brother's speed just before his helmet hit the flimsy ceiling.

b) without the ceiling, how high would he have gone?

c) in discussing their probation, the dean of students suggests that the next time they try this, they do it outdoors on another planet. would the answer to part (b) be the same if this stunt were performed on a planet with a different value of g ? assume that the fraternity brothers push the platform down 0.57m as before. (yes/no)

d) explain your reasoning.