A ball is dropped from an initial height of 1,296 feet. The height of the ball at time t seconds is given by h(t) = -16t² + 1296. Find the time t guaranteed by the Mean Value Theorem when the instantaneous velocity of the ball is equal to the average velocity during its trajectory. Assume the interval under consideration is [0, t*] where t* is the time that the ball hits the ground. (Do not include "t " or "seconds" in your answer.)

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