I've tried this problem in multiple different ways and can't seem to come up with an acceptable answer. The question is,
A rock is dropped from the top of a tall building. The rock's displacement in the last second before it hits the ground is 48 % of the entire distance it falls.
I tried using kinematic equations to resolve this in multiple different ways. For example, setting the position function at t-1 equal to .48 times the position function of t, and then solving for t. I then plugged in t into the position function, and got 52m, which is not correct.
Our textbook was kind enough to give a similar problem, except it used 45% and got the height to be equal to 73m. What is the proper way to go about solving this problem? What am I doing wrong?