Question

URGENT, PLEASE ANSWERR If someone who is 5 feet tall uses a potato gun to shoot a potato in the air at 100 feet per second, we can use the function ℎ()=−162+100+5 to calculate how far the potato will be from the ground at any given second (t). What does the h(0) represent in the context of the problem?

Answer 1

Given:

Consider the function is:

`h(t)=-16t^2+100t+5`

This function is used to calculate how far the potato will be from the ground at any given second (t).

To find:

The value of h(0) and its meaning in the context of the problem.

Solution:

We have,

`h(t)=-16t^2+100t+5`

At t=0,

`h(0)=-16(0)^2+100(0)+5`

`h(0)=0+0+5`

`h(0)=5`

Therefore, the value of h(0) is 5. It means the potato is 5 feet from the ground at the time of shooting.