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Assume an Object Weighing 7 Pounds Is Dropped from a Height

Question 28

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 4 seconds is 2.33 feet per second.

(ii) What is the limiting value of the velocity function?


A) (i) 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 4 seconds is 2.33 feet per second. ​ (ii)  What is the limiting value of the velocity function? ​ A)  (i)    ; (ii)  0 B)  (i)    ; (ii)  0 C)  (i)    ; (ii)  2.33 D)  (i)    ; (ii)  2.33 E)  (i)    ; (ii)  limit does not exist ; (ii) 0
B) (i) 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 4 seconds is 2.33 feet per second. ​ (ii)  What is the limiting value of the velocity function? ​ A)  (i)    ; (ii)  0 B)  (i)    ; (ii)  0 C)  (i)    ; (ii)  2.33 D)  (i)    ; (ii)  2.33 E)  (i)    ; (ii)  limit does not exist ; (ii) 0
C) (i) 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 4 seconds is 2.33 feet per second. ​ (ii)  What is the limiting value of the velocity function? ​ A)  (i)    ; (ii)  0 B)  (i)    ; (ii)  0 C)  (i)    ; (ii)  2.33 D)  (i)    ; (ii)  2.33 E)  (i)    ; (ii)  limit does not exist ; (ii) 2.33
D) (i) 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 4 seconds is 2.33 feet per second. ​ (ii)  What is the limiting value of the velocity function? ​ A)  (i)    ; (ii)  0 B)  (i)    ; (ii)  0 C)  (i)    ; (ii)  2.33 D)  (i)    ; (ii)  2.33 E)  (i)    ; (ii)  limit does not exist ; (ii) 2.33
E) (i) 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 4 seconds is 2.33 feet per second. ​ (ii)  What is the limiting value of the velocity function? ​ A)  (i)    ; (ii)  0 B)  (i)    ; (ii)  0 C)  (i)    ; (ii)  2.33 D)  (i)    ; (ii)  2.33 E)  (i)    ; (ii)  limit does not exist ; (ii) limit does not exist

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