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1. (10 pts: 4, 2, 4) If a ball is dropped from a height 500 feet, its height in feet after t seconds is given by h(t) = 500-16t2. Include the proper units, in your solution. (a) Find the average velocity of the ball over the time interval 1 sts3. (b) Complete the definition of the derivative The derivative of a function f at a number a, denoted by f(a), is defined as f(a) (c) Use the limit definition of the derivative to find the instantaneous velocity v(2) of the ball after 2 seconds. Include the proper units in your solution. Finding the derivative using anything other than the limit definition will earn zero credit.
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