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Suppose an Eight-Pound Object Is Dropped from a Height of 5000

Question 84

Multiple Choice

Suppose an eight-pound object is dropped from a height of 5000 feet, where the air resistance is proportional to the velocity. Write the velocity as a function of time if its velocity after 7
Seconds is approximately -75 feet per second. Use a graphing utility or a computer algebra system.
Round numerical answers in your answer to four places.


A) (1+e08018t) \left( 1 + e ^ { 08018 t } \right)
B) 79.8243(1+e0.8018t) 79.8243 \left( 1 + e ^ { 0.8018 t } \right)
C) 0.8018(1e79.8243t) 0.8018 \left( 1 - e ^ { - 79.8243 t } \right)
D) (1e798243t) \left( 1 - e ^ { 798243 t } \right)
E) 79.8243(1e0.4009t) - 79.8243 \left( 1 - e ^ { - 0.4009 t } \right)

Correct Answer:

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