Question

In a freefall skydive, a skydiver begins at an altitude of 10,000 feet. during a freefall, the skydiver drops toward earth towards earth at a rate of 175 ft per second. the height of the skydiver from the ground can be modeled using the function H(t)=10,000-175t.

What is the domain of the function for this situation?

Answer 1

{
`t|0\leq t\leq 50`}

Explanation:

We are given that

In a freefall skydive, a skydiver begins at an altitude during free fall =10,000 feet

The skydiver drops towards earth at a rate=175 ft/s

The height of the skydiver from the ground can be modeled using the function

`H(t)=10000-175t`

We have to find the domain of the function for this situation.

When t=0

Then ,
`H(0)=10,000 feet`

From given graph we can see that the value of t lies from 0 to 50.

Therefore, the domain of the function for this situation is given by

{
`t|0\leq t\leq 50`}