Assume an Object Weighing 7 Pounds Is Dropped from a Height

question 16

Multiple Choice

Assume an object weighing 7 pounds is dropped from a height of 9,000 feet, where the air resistance is proportional to the velocity. Round numerical answers in your answer to two Places.
(i) Write the velocity as a function of time if the object's velocity after 6 seconds is 3.50 feet per
Second.
(ii) What is the limiting value of the velocity function?

• A)
• (i) \(v ( t ) = 3.5000 \left( 1 - e ^ { - 9.1429 t } \right)\);
• (ii) 0
• B) (i) \(v ( t ) = 3.5000 \left( 1 - e ^ { 9.1429 t } \right)\);
• (ii) 0
• C) (i) \(v ( t ) = 3.5000 \left( 1 - e ^ { - 9.1429 t } \right)\);
• (ii) \(3.5000\)
• D) (i) \(v ( t ) = 3.5000 \left( 1 - e ^ { 9.1429 t } \right)\);
• (ii) \(3.5000\)
• E) (i) \(v ( t ) = 3.5000 \left( 1 + e ^ { 9.1429 t } \right)\);
• (ii) limit does not exist

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