Question

Consider the shuttle carrying the astronauts is dropped from 100ft. The position 𝑠 of the shuttle is given by the following function as a function of time: 𝑠(𝑡) = −16𝑡 2 + 100.s. What is the domain of this function?

Answer 1

$0\le s(t)\le 100$

For $s(t)=0$ :

$-16t^2+100=0$

$t=10/4=2.5\ s$

For $s(t)=100$ :

$-16t^2+100=100$

$t=0$

Domain:

$0\le t \le 2.5$