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Question: birds have evolved to the ability to control their motions...

Question details

Birds have evolved to the ability to control their motions through the air by controlling the forces exerted on their bodies by the air; the contact forces on a bird by the air plus the force of gravity on the bird by the Earth determine the change in motion of the bird at any instant of time. In this problem, you will be asked to use what you know about acceleration to track the motion of a diving hawk.

A hawk is flying horizontally Southward at an altitude of 181.0  m and at a speed of 2.40  m/s when he spots a slow-flying finch ahead of his current location and below his current path. At time zero, the hawk starts a dive by controlling the contact forces on him by the air so as to produce an acceleration of 4.70  m/s2 in a direction 80.0  degrees below horizontally Southward for a time of 1.150 seconds.

B. What is the hawk's displacement during the 1.150-s interval? Give your answer as an ordered pair, with magnitude first, followed by a comma, then followed by the direction. Give the direction in terms of an angle measured below the horizontally Southward direction.

C. What is the hawk's displacement during the 9.5-s interval? Give your answer as an ordered pair, with magnitude first, followed by a comma, then followed by the direction. Give the direction in terms of an angle measured below the horizontally Southward direction.

D. What is the hawk's final velocity at the end of the 1.5-s interval? Give your answer as an ordered pair, with magnitude first, followed by a comma, then followed by the direction. Give the direction in terms of an angle measured below the horizontally Southward direction. If the direction is above horizontally South instead of below, use a negative angle.

E. Once again, please assume that the hawk's acceleration during the 1.5-s interval is constant. What is the hawk's displacement during the 1.5-s interval? Give your answer as an ordered pair, with magnitude first, followed by a comma, then followed by the direction. Give the direction in terms of an angle measured below the horizontally Southward direction.

F. What is the total Southward displacement of the hawk during those 12.15 seconds? Specify the direction with a plus or minus sign assuming that Southward is positive and Northward is negative.

G. Finally, what is the final altitude of the hawk at the end of those 12.15 seconds?

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