Question

A body dropped from a height h falls half of its distance in the last second

Answer 1

Question A body is dropped from height h. If the body covers the distance of h/3 in the last second, what was the total height?

Answer

d=1/2 at²

Let (t-1) be the distance covered in the first 2/3rds of motion. Then:

2d/3=1/2 a(t-1)²

d=1/2 at²

2d/3 /d=1/2a(t-1)² / 1/2 a t²

2/3=(t-1)² / t²

3(t-1)²=2t²

3t²-6t+3=2t²

t²-6t+3=0

t=5.4495 secs

h(5.4495)=145.515m