Question

REASONING

The height of an airplane during a landing is given by $22,000+(-480t)$, where $t$ is the time in minutes. Estimate how many minutes it takes the plane to land. Explain your reasoning.

Answer 1

Time taken by plane to land:

Height of airplane after landing $=0$

So, we have, $22,000+(-480t)=0$

$\Rightarrow$ $22,000-480t=0$

Transposing $-480t$ to the right hand side gives.

$\Rightarrow$ $22,000=480t$

$\Rightarrow$ $\frac{22,000}{480}=t$

$\Rightarrow$ $t=45.83$ mins

Total time taken by airplane to land is $45.83$ mins.

Hence,total time taken by airplane to land is $45.83$ mins