a) SCSU physics and astronomy student club has a recently established tradition of pumpkin drop, from the top of Wick Science Building to the "moat" below street level. Although the "experimental data" has not been made public, there have been rumors of the drop took 2.12 seconds, i.e. falling from rest with negligible air drag. Based on the rumor, how tall is the building from the "moat" to the roof? Ignore air drag or any rotation of pumpkins. Hint: You may assume the final position to be zero.
b) You dropped a coin from rest into a dry well. You heard the coin striking the bottom after 2.05 seconds. How deep is the dry well? Ignore the speed of sound. Assume you immediately hear the sound as the coin strikes the bottom. Hint: You may assume the final position to be zero.
c) A diver jumps off the diving board at 2.2 m/s. Assume the diving board is 3.5 m above the water surface in the pool and the diver has a tiny forward velocity so she could clear the board in her way down and hit the water feet first, how long will it take her to strike the water surface? Ignore air drag. Hint: You can set the final position to be zero.
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