Answer:
The height of the ball after 5 seconds is 162 ft.
Explanation:
First, replace the variable t with how many seconds the ball has dropped, which in this case is 5.
[tex]h = 512 - 14 {t}^{2} \\ h = 512 - 14 \times {5}^{2} [/tex]
Solve.
[tex]h = 512 - 14 \times {5}^{2} \\ h = 512 - 14 \times 25 \\ h = 512 - 350 \\ h = 162[/tex]
For a duration of 5 seconds, the ball had managed to drop 350 feet, with 162 feet left to go to touch ground level.