A calculus book is thrown from the top of a building such that its height off the ground (in feet) could be calculated using the function h(t) = 120 – 3t – 16t2, where t is measured in seconds. Include units and box your final answers. a) Find the average velocity of the book over the interval t = 0 to t = 2 seconds. b) Find the average velocity of the book over the interval t = 1 to t = 2 seconds. c) Find the average velocity of the book over the interval t = 1. 5 to t = 2 seconds. d) Using the definition of derivative ??? ?(?+?)−?(?) to find the instantaneous rate of change of the book at t = 2. ?→? ? e) How does your answer to part d) relate to the progression of answers from part a) through c)?
A calculus book is thrown from the top of a building such that its height off the ground (in feet) could be calculated using the function h(t) = 120 – 3t – 16t2, where t is measured in seconds. Include units and box your final answers.
a) Find the average velocity of the book over the interval t = 0 to t = 2 seconds.
b) Find the average velocity of the book over the interval t = 1 to t = 2 seconds.
c) Find the average velocity of the book over the interval t = 1. 5 to t = 2 seconds.
d) Using the definition of derivative ??? ?(?+?)−?(?) to find the instantaneous rate of
change of the book at t = 2.
?→? ?
e) How does your answer to part d) relate to the progression of answers from part a) through c)?
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