43. A man is in a hot air balloon 1, 000 meters above a lake taking pictures of the scenic view. A gust of wind shakes the hot air balloon and the man accidentally drops his camera over the edge. Assume the initial downward velocity of the camera is 0 meters per second, and the meters downward acceleration due to gravity is 9.8 second² Use a degree 2 Taylor Polynomial to find the speed of the camera when it hits the surface of the lake. Round your answer to the nearest integer. A. 157 meters per second B. 140 meters per second C. 276 meters per second D. 280 meters per second E. 143 meters per second 1 and assume there is no air resistance.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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43. A man is in a hot air balloon 1, 000 meters above a lake taking pictures of the scenic view. A
gust of wind shakes the hot air balloon and the man accidentally drops his camera over the
edge. Assume the initial downward velocity of the camera is 0 meters per second, and the
meters
downward acceleration due to gravity is 9.8 -
, and assume there is no air resistance.
3
second
Use a degree 2 Taylor Polynomial to find the speed of the camera when it hits the surface of
the lake. Round your answer to the nearest integer.
A. 157 meters per second
B. 140 meters per second
C. 276 meters per second
D. 280 meters per second
E. 143 meters per second
Transcribed Image Text:43. A man is in a hot air balloon 1, 000 meters above a lake taking pictures of the scenic view. A gust of wind shakes the hot air balloon and the man accidentally drops his camera over the edge. Assume the initial downward velocity of the camera is 0 meters per second, and the meters downward acceleration due to gravity is 9.8 - , and assume there is no air resistance. 3 second Use a degree 2 Taylor Polynomial to find the speed of the camera when it hits the surface of the lake. Round your answer to the nearest integer. A. 157 meters per second B. 140 meters per second C. 276 meters per second D. 280 meters per second E. 143 meters per second
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