Explanation:
Given that,
An object in free fall will fall d feet in t seconds, where d and t are related by the algebraic model as :
[tex]d=16t^2[/tex]..........(1)
(a) We need to find the time taken by the object to fall 1148 ft. Put this in equation (1) as :
[tex]16t^2=1148[/tex]
[tex]t=\sqrt{71.75}[/tex]
t = 8.47 seconds
(b) If the object is in free fall for 18.5 sec after it is dropped, then the height of the object is given by :
[tex]d=16(18.5)^2[/tex]
d = 5476 ft
Hence, this is the required solution.
