1. The problem statement, all variables and given/known data An object falls from rest off a building, with a constant acceleration of 9.8 m/sec^2. The object travels half the building in its last 1 secs of its fall before hitting the ground. What is the height of the building? [tex]v_0 = 0[/tex] [tex]a = 9.8[/tex] 2. Relevant equations [tex]x = x_0 + v_0 t + (1/2) a t^2[/tex] 3. The attempt at a solution I know that the distance traveled by the projectile for the first half of the building is given by y= (1/2)gt^2 Now that I know that after traveling that half the height of the building it spends another second traveling the other half. So now 2y=(1/2)g(t+1)^2 Now by arranging the first equation I get t=√(2y/g) If I substitute that in to the second equation for the variable t I get 2y= y + g√(2y/g) + (1/2)g After this I've attempted way to get at the right answer such as using the quadratic formula but I got wrong answers. The right answer is 57.1 m, however I haven't been successful in getting to that answer.