Question

if a stone dropped from the top of a tower Travels half of the height of a tower during last second of its fall the time of the fall is (in seconds)

Answer 1

The answer is
$2 + \sqrt{2}$

Answer 2

Answer:

Explanation:so the stone is drop from a tower and it travel half of the distance

So consider height of the tower is (H)

So when the stone travel half distance so it's means 1/2unit

Therefore during the last second means Sn=2n-1/n*2

1/2=2n-1/n*2

Which implies n*2-4n+2=0

By applying

-b+_√b*2-4ac/2a

We get 4+_√8/2

=2+_√2

We know time cannot be negative so

Our answer is

2+√2 .......