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,
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 & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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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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