Mathematics, 13.11.2019 21:31 jlo15
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 flight 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=h0 -16t^2 models the height y of a walnut based on the initial height h0 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.
2. insert a graph of your equation with the axes labeled. what does the y-axis represent? what does the x-axis represent? are negative values of x meaningful? explain your reasoning. what is the meaning of the y-intercept? what is the meaning of the positive x-intercept?
3. using your graph, will it take less than 1 second, 1 second exactly, or more than 1 second for the walnut to hit the ground?
4. how can you use your equation to calculate the exact time at which the walnut will hit the ground?
5. what do you notice about your binomial? how can this you solve your equation? when will the walnut hit the ground?
Answers: 1
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flight path of a bird
some birds, like parrots, have strong, large beaks to break open nuts an...
some birds, like parrots, have strong, large beaks to break open nuts an...
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