A body falls freely under gravity from rest and reaches the ground in time t. Write an expression for the height fallen by the body.

As we know,

h = ut + $\dfrac{1}{2}$ gt², where,

g = acceleration due to gravity,

t = time

h = height fallen by the body.

Given,

u = 0

Hence, on substituting the values we get,

h = (0 x t) + $\dfrac{1}{2}$ gt²

= 0 + $\dfrac{1}{2}$ gt²

= $\dfrac{1}{2}$ gt²

Therefore, maximum height attained by the body = $\dfrac{1}{2}$ gt²