Mayzie the bird flies takes off the tree and lands on the ground. Her altitude in meters as a function of time in seconds is given by the quadratic function h(t) = −0.4t^2 + 3.6t + 3.9. (a) How tall is the tree? (b) What is the maximum altitude of Mayzie? (c) What is the average rate of change of her altitude between t = 3 and t = 3.5 seconds?
Mayzie the bird flies takes off the tree and lands on the ground. Her altitude in
meters as a function of time in seconds is given by the quadratic function h(t) = −0.4t^2 + 3.6t + 3.9.
(a) How tall is the tree?
(b) What is the maximum altitude of Mayzie?
(c) What is the average rate of change of her altitude between t = 3 and t = 3.5 seconds?
(d) Find a time when her overall rate of change in altitude is 2.6 meters per second.
(e) On the left is the graph of the altitude of Mayzie as a function of time. Mark your answers to the questions above on the graph with letters (a)-(d) as if you were solving the same questions from the graph.
(f) Compute algebraically the time when she lands on the ground. Compare with the graph to verify your answer.
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