Question

A stone is dropped from a tower of height H. If distance covered during last second is

half of total height H. Find the total time taken by stone to reach the ground. Also find

the value of H.​

Answer 1

Let total distance traveled be h.

Now, Velocity at midpoint, v=

2gs

=

gh

Velocity at lowest point, V=v=

2gs

=

2gh

Now, V=v+gt (t=1s)

Now,

2gh

=

gh

+g

⇒

h

=

2

−1

g

Also, h=

2

1

gt

2

⇒t

2

−

g

2h

=0

t=±

g

2h

=±

2

−1

2

t=2±

2