How to Translate a Sentence into an Equation.

Question

I don't understand what the inverse is:

The distance a dropped item falls is inversely proportional to the square of the time it falls.

Answer 1

d = k/t^2 d= distance fallen, t = time fallen, k = constant of proportionality

would be the usual meaning of inversely proportional

but

d = -16t^2 +ho is the usual formula for a falling object = it's height which is inverse to time t

if ho = 0 = initial height, then

d = -16t^2 = distance traveled down, negative sign means down

d/t^2 = -16 = k = constant of proportionality 1/t^2 = square of inverse of t = (1/t)^2