NEED HELP ASAP

[ch0pstix209]

i need help on a physic problem asap?

a falling object travels one-fourth of its total distance in the last second of its fall. from what height was it dropped?
(neglect air resistance)

[kishtik]

I hate this kind of questions, they do not check if the student understood the subject deeply, they only check if the student can use the formulas.
If I understood you correctly;
Let t be the time the object fell before last 1 s.
You know,

distance=v_0 t +\frac{1}{2} gt^2



3d=\frac{1}{2} (9,8)t^2



d=(9,8)t.1 + \frac{1}{2}(9,8).1

Multiply this with 3 and equalize these last two equations. Find t, add it 1 (the last second) to find the total time the object fell.

h=\frac{1}{2}g(t+1)^2

I hope this helped.