Answer:
[tex]H(t) = 16t^2[/tex]
Height 3 seconds after is 144ft
Step-by-step explanation:
Given
Expression: 16t power 2
Solving (a): Write as an algebraic expression.
Let H represent the height after t seconds.
So, we have:
[tex]H(t) = 16t^2[/tex]
Solving (b): The height after 3 seconds
This implies that:
[tex]t = 3[/tex]
Substitute 3 for t in [tex]H(t) = 16t^2[/tex]
[tex]H(3) = 16 * 3^2[/tex]
[tex]H(3) = 16 * 9[/tex]
[tex]H(3) = 144[/tex]
Hence, the height is 144ft
