dead branch falls from a tree at the top of an 80 m high cliff. The function d (t) = 80 - 5t2, where 0 < t < 4, gives the height d, in meters, of the branch above the ground after A time t, in seconds.   A) Determines the average rate of change in height between 1 and 3 s.   B) Calculate d (2).   C) Using the block 3 approach,

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Question

3.1 (1)

 

A dead branch falls from a tree at the top of an 80 m high cliff. The function d (t) = 80 - 5t2, where 0 < t < 4, gives the height d, in meters, of the branch above the ground after A time t, in seconds.

 

A) Determines the average rate of change in height between 1 and 3 s.

 

B) Calculate d (2).

 

C) Using the block 3 approach, calculates the instantaneous rate of change of the height at 2 s.

 

D) Explain the meaning of the values you obtained in a), b) and c).

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