Question
A body falls freely from rest and covers half of the total height in last second. Find the height from where the body was dropped.
Solution
Let a body fall from height 2h and take t seconds to fall.
Since the body covers half of total height i.e. h in t seconds,
From (1) and (2),
t2 = 2(2t - 1)
t2 -4t+2=0
Since
therefore not possible.
Thus, time taken by the body to reach the ground is
From equation (2), the height from which the body is dropped is given by,
= 58.28m
Since the body covers half of total height i.e. h in t seconds,
From (1) and (2),
t2 = 2(2t - 1)
t2 -4t+2=0 Since
therefore not possible.Thus, time taken by the body to reach the ground is
From equation (2), the height from which the body is dropped is given by,
= 58.28m
