Q-A stone is projected from the top of a tower. When it crosses a point 5m below the top, another stone is let fall from a point 25m below the top. Both stones reach the bottom of the tower simultaneously. Find the height of the tower .
let height be h Time taken to reach the bottom = (2(h-25)/g)1/2 so h-5 = u* (2(h-25)/g)1/2 + g (2(h-25)/g) /2 => 20 = u* (2(h-25)/g)1/2 => 400 = 2*10*5 (2(h-25)/10) [as u2 = 2gs] => 4 = (h-25)/5 so h = 45m