ChapterPerformance Task (continued)2Flight Path of a BirdSome birds, like parrots, have strong, large beaks to break open nuts and shells. Butother birds, like crows, crack open their food by dropping it to the ground. How cana bird change its tlight path to protect its falling food from other hungry birds?Walnuts must fall at least 12 feet to the ground to break open. This creates a fall timethat leaves the walnut vulnerable to theft by other birds. Scientists have studied crowsdropping their food, and have concluded that the birds actually strategize about where todrop their food. A crow optimizes its path to find the shortest fall time that will return abroken nut.1. The equation y = 4 - 16 models the height y ofa walnut based on the initialheight A of the walnut, and the number of seconds t after the walnut is dropped.Write an equation representing the position of the walnut when a crow is flyingand carrying the walnut at a height of 25 feet.

Given: The equation is y=h0-16t2 that models the height of a walnut. The horizontal distance is…

The equation y =4 - 16² models the height y of a walaut basod on the initi height A of the walnut, and the number of seconds t after the walnut is dropped. Write an equation representing the position of the walnut when a crow is flying and carrying the walnut at a height of 25 feet.

The equation y =4 - 16² models the height y of a walaut basod on the initi height A of the walnut, and the number of seconds t after the walnut is dropped. Write an equation representing the position of the walnut when a crow is flying and carrying the walnut at a height of 25 feet.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter3: Linear And Nonlinear Functions

Section3.7: Piecewise And Step Functions

Problem 30PPS

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Question

Chapter
Performance Task (continued)
2
Flight Path of a Bird
Some birds, like parrots, have strong, large beaks to break open nuts and shells. But
other birds, like crows, crack open their food by dropping it to the ground. How can
a bird change its tlight path to protect its falling food from other hungry birds?
Walnuts must fall at least 12 feet to the ground to break open. This creates a fall time
that leaves the walnut vulnerable to theft by other birds. Scientists have studied crows
dropping their food, and have concluded that the birds actually strategize about where to
drop their food. A crow optimizes its path to find the shortest fall time that will return a
broken nut.
1. The equation y = 4 - 16 models the height y ofa walnut based on the initial
height A of the walnut, and the number of seconds t after the walnut is dropped.
Write an equation representing the position of the walnut when a crow is flying
and carrying the walnut at a height of 25 feet.

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