1. The problem statement, all variables and given/known data A person throws a ball off a roof that is 8 meters high with an angle of 45 degrees from the positive x axis. The ball is supposed to land in the center of a square that is centered 9 meters away from the base of the roof. With which initial velocity must the person throw the ball so that it lands from it is supposed to? 2. Relevant equations Vi = unknown Vx = 9/Ttot Vx = Vi cos (45) Vy = Vi sin (45) h = 9 meters y = distance from the initial height of the ball to the height that the ball peaks. Ttot = the total time the ball is in there air. 3. The attempt at a solution Ttot = t1 + t2 where t1 = the time it takes the ball to peak and t2 = the time it takes the ball to fall from that maximum height. t1 = -Vy/g t2 = sqrt ( (2h + 2y)/g) t3 = -Vy/g + sqrt ( (2h + 2y)/g) = 9/Vx When replaced with everything I'm given, I get the following equation. Keep in mind we're trying to solve for Vi. t3 = -Vi sin(45)/g + sqrt ( (2(8) + 2(-Vi sin (45)/2g)/g) = 9/(Vi cos (45) ) From here, I'm not sure how I can solve for Vi. Is this problem impossible to solve with what I'm given or am I just making it a lot harder than it needs to be? I'd appreciate any help ya'll can give me!