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this problem deals with vertical motion of a free-falling object but n it was shot upward from the top of a 640 foot building with an initial velocity of 48 feet per second were going to state the arrows position function the velocity function acceleration function will find the average velocity of the arrow between 2 and 5 seconds the instantaneous velocity at exactly 5 seconds the acceleration at that same moment 5 seconds well figure out how high the arrow goes and determine the arrows velocity when it hits the ground Part A of this problem is asking us to find the areas position function the position function of a free-falling object under the effects of gravity takes the form f of T equals the position of the function at any time T is equal to negative 16t squared the coefficient of negative 16 will be constant for any object thats falling under the influence of gravity where the force from gravity is measured in feet per second squared plus the initial position times T remem