Suppose the position function for a free-falling object on a certain planet is given by .A silver coin is dropped from the top of a building that is 1368 feet tall.Find the time required for the coin to reach ground level.Round your answer to the three decimal places.
A)3.082 sec
B)10.677 sec
C)11.152 sec
D)3.362 sec
E)10.523 sec

Question

Suppose the position function for a free-falling object on a certain planet is given by  .A silver coin is dropped from the top of a building that is 1368 feet tall.Find the time required for the coin to reach ground level.Round your answer to the three decimal places. ​
A)3.082 sec 
B)10.677 sec 
C)11.152 sec 
D)3.362 sec 
E)10.523 sec

Quizplus · Accepted Answer

We need to find the time when the position function is equal to 1368 feet, which represents the height of the building. 
11e^(-0.022t) = 1368 
Take the natural logarithm of both sides: 
ln(11) - 0.022t = ln(1368) 
Solve for t: 
t = (ln(11) - ln(1368))/(-0.022) ≈ 11.152 sec 
Therefore, the answer is choice C.

Suppose the Position Function for a Free-Falling Object on a Certain