Chapter MPS, Problem 8.7MPS

To determine

To Find: The altitude after the given time.

Answer to Problem 8.7MPS

  $2200ft$

Explanation of Solution

Given:

  $\begin{array}{l}h=\text{height of the altitude }\mathrm{in}ft\\ t=\text{at the given time in minutes}\\ t=2\end{array}$

Formula Used:

  $h=2000\ln \left(t+1\right)$

Calculation:

  $\begin{array}{l}h=2000\ln \left(t+1\right)\\ \Rightarrow h=2000\ln \left(2+1\right)\\ \Rightarrow h=2000\ln 3\\ \Rightarrow h=2000\times 1.1\\ \Rightarrow h=2200ft\end{array}$

Conclusion:

Thus the height of the airplane is $2200ft$ .