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This problem discusses the vertical motion of a free-falling object that was shot upward from the top of a 640 foot building with an initial velocity of 48 feet per second. We will find the position, velocity, and acceleration functions of the arrow, calculate the average velocity between 2 and 5 seconds, determine the instantaneous velocity and acceleration at 5 seconds, evaluate the maximum height reached by the arrow, and find its velocity when it hits the ground. Part A focuses on finding the position function of the object, which is represented by f(T) = -16t^2, where t is the time in seconds. The coefficient of -16 remains constant for any object falling under gravity's influence.