  What is the value of t when the instantaneous velocity is equal to the average velocity of a rock that is dropped from aninitial height of 144 feet if the equation below models the height at time t seconds? (Note that the Mean Value Theoremguarantees such a value of t.)h(t) --16+144Assume the interval under consideration is [0,t ] wheretis the time that the rock hits the ground.(Do not include "t"or "seconds" in your answer.)

Question help_outlineImage TranscriptioncloseWhat is the value of t when the instantaneous velocity is equal to the average velocity of a rock that is dropped from an initial height of 144 feet if the equation below models the height at time t seconds? (Note that the Mean Value Theorem guarantees such a value of t.) h(t) --16+144 Assume the interval under consideration is [0,t ] wheretis the time that the rock hits the ground. (Do not include "t"or "seconds" in your answer.) fullscreen
Step 1

To calculate the value of "t" referred to in the problem

Step 2

first determinet t* (the time taken to hit the ground)

Step 3

Using t*=3, calculate the av...

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Calculus 