question is down below

Question

The formula h=16² is used to measure the time t it takes for an object to free fall from height h If an object falls from a height h=18a5 ft, how long did it take for the object in terms of a?

Answer 1

h(t) = -16t^2 + ho

where ho = initial height in feet and t= time in seconds

if ho = 18a^5

it hits the ground

when h(t) = 0 = -16t^2 + 18a^5

t^2 = 18a^5/16

t =(a^2/4)(sqr18a)