In a newly proposed system of units, the acceleration due to gravity at the Earth's surface ( g ) is taken as 1 unit/s ^2 . If a small heavy particle is dropped from rest from a tall building and takes exactly 4 s to hit the ground, the height of the building in this new unit of length is :

Step-by-step solution

In the new system of units, the acceleration due to gravity is g = 1 unit/s ^2 . The initial velocity of the dropped particle, u = 0 . Time taken to fall, t = 4 s . Using the second equation of motion for the displacement (height of the building): h = ut + 1 2 gt^2 h = 0 + 1 2 (1)(4)^2 h = 1 2 16 = 8 new units . Answer: 8