In a new system of units, the acceleration due to gravity is taken as unity. If a stone dropped from a tall building takes 12 s to reach the ground, the height of the building in this new unit system is :

Step-by-step solution

Initial velocity of the stone, u = 0 Time taken to reach the ground, t = 12 Acceleration due to gravity in the new system, g = 1 Using the equation of motion, h = ut + 1 2 gt^2 h = 0 + 1 2 (1)(12)^2 h = 144 2 = 72 The height of the building in the new unit system is 72 . Answer: 72