Question

a boy throws a stone vertically up and catches it after time "t" seconds. what is the maximum height reached by the stone?
a)gt²÷2 b)gt²÷4 c)gt²÷8 d)gt²÷16

the answer in my textbook is gt²÷8

please solve it urgently. 

Answer 1

The stone takes same time to go up to the top and to return from the top. Hence, the time to return or descend from the top is = t/2 seconds.

In this time the stone traveled on the descent:

s = 0 t/2 + 1/2 g (t/2)² =  (g t²) / 8

Answer 2

answer is gusbsbsgdgsvwhwgegsbsvssgt/8