Given:
Consider the function is:
[tex]h(t)=-16t^2+100t+5[/tex]
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,
[tex]h(t)=-16t^2+100t+5[/tex]
At t=0,
[tex]h(0)=-16(0)^2+100(0)+5[/tex]
[tex]h(0)=0+0+5[/tex]
[tex]h(0)=5[/tex]
Therefore, the value of h(0) is 5. It means the potato is 5 feet from the ground at the time of shooting.