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

question 68

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) \(\left( 1 + e ^ { 08018 t } \right)\)
• B) \(79.8243 \left( 1 + e ^ { 0.8018 t } \right)\)
• C) \(0.8018 \left( 1 - e ^ { - 79.8243 t } \right)\)
• D) \(\left( 1 - e ^ { 798243 t } \right)\)
• E) \(- 79.8243 \left( 1 - e ^ { - 0.4009 t } \right)\)

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