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Dropping a ball off the US Bank Tower (formerly known as Library Tower) in Los Angeles. Suppose a ball could be dropped straight down from the top of the building at aheight of h = 310 m. Los Angeles has a latitude of a little over 30 degrees North.a)How many seconds are in one day (i.e. what is the period of rotation about the earth’s own axis)?b)What is the rotational frequency f in Hz and É in rad/sec for the earth about its own axisc)What is the speed V of an object sitting on the ground at the earth’s equator due to the earth’s rotation about its own axisd)What is the speed of an object sitting on the ground at Los Angeles due to the earth’s rotation about its own axise)How long does it take a ball dropped from the top of Library Tower to hit the groundf)Accounting for the speed due to earth’s rotation, how far east does the ball move from time of release to time of contact with the groundg)Similarly, how far east does the base of Library Tower move in the same time
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