Hawks soar in search of prey and then fold their wings and drop like a rock from the sky on their victim, which in this case we’ll assume to be a vole, or field mouse. Hawks have evolved a highly aerodynamic form that minimizes drag. The hawk in our model is soaring at some height when it spots the vole and begins its dive. At that same time the vole sees the hawk and rushes as fast as its little legs will carry it (2.00 m/s) back to its burrow. The big question for the vole is: How far can it safely venture from its burrows? Work through the steps below to find the answer. a. Sketch the situation described above. Label all relevant quantities, either with a number if you know it, or as a variable. b. Find the time it takes the hawk to reach the ground if it is soaring at 125 m. c. What is the maximum distance which the vole can safely venture from its burrow in this situation?
Hawks soar in search of prey and then fold their wings and drop like a rock from the sky on their victim, which in this case we’ll assume to be a vole, or field mouse. Hawks have evolved a highly aerodynamic form that minimizes drag.
The hawk in our model is soaring at some height when it spots the vole and begins its dive. At that same time the vole sees the hawk and rushes as fast as its little legs will carry it (2.00 m/s) back to its burrow. The big question for the vole is: How far can it safely venture from its burrows? Work through the steps below to find the answer.
a. Sketch the situation described above. Label all relevant quantities, either with a number if you know it, or as a variable.
b. Find the time it takes the hawk to reach the ground if it is soaring at 125 m.
c. What is the maximum distance which the vole can safely venture from its burrow in this situation?
d. How much farther from its burrow can the vole venture if the hawk starts at 150. m?
e. Now let’s assume that the vole doesn’t see the hawk right away when it starts its dive at 150.0 m. It only notices the hawk when it has reached 100.0m. Calculate the distance it can run to safety in this case. You should draw a new sketch for this situation.
f. For this simplified model, we have made many assumptions that made the calculations easy. List some of those simplifying assumptions.
Please show all work to help me understand...thanks so much in advance.
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