Time taken by the ball to reach ground = 2 sec
when the ball was projected vertically upwards then its horizontal velocity = horizontal velocity of car at the moment when the ball was released = u (say)
so, horizontal distance travelled by the ball in 2 sec = ut = 2u meters ...... (1)
(Remember here there is no component of acceleration for the ball in horizontal direction once it is released)
Distance travelled by the car is given by
s = ut + (1/2)at2
= 2u + (1/2)*1*(2)2
or s =2u + 2 ............(2)
From (1) and (2)
The distance at which ball will fall behind the boy on the car is
= (2u + 2 ) - 2u = 2 meters