Ignoring air resistance, an object in free fall will fall d feet in t seconds, where d and t are related by the algebraic model d equals 16 t squared. (a) how long will it take the object to fall 1148 ft? (b) if the object is in free fall for 18.5 sec after it is dropped, how high was the object when it was dropped?

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 :

..........(1)

(a) We need to find the time taken by the object to fall 1148 ft. Put this in equation (1) as :

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 :

d = 5476 ft

Hence, this is the required solution.