Answer:
824 feet
Step-by-step explanation:
Given
[tex]h(t) = 16t^2[/tex]
[tex]H = 906[/tex] -- Initial Height
Required
Calculate the height after 2 seconds --- missing from the question
First, we calculate the distance moved in 2 seconds
[tex]h(t) = 16t^2[/tex]
[tex]h(2) = 16*2^2[/tex]
[tex]h(2) = 16*4[/tex]
[tex]h(2) = 64[/tex]
This means that the object covered 64feet
The object current height is then calculated as:
[tex]Height = H - h(t)[/tex]
t = 2. So, the equation becomes
[tex]Height = H - h(2)[/tex]
Substitute values for H and h(2)
[tex]Height = 906- 64[/tex]
[tex]Height = 824[/tex]