A cannon ball weighing 128 pounds is fired from a cannon at 45 degrees above the horizontal. The cannon ball lands in a pool that has a radius of 14 feet and located 7.5 feet above the ground. The closest edge of the net is 98 feet from the cannon. It takes 4 seconds for the cannon ball to travel through the air and land in the exact center of the pool. What was the initial velocity of the cannon ball in ft/s?
I am completely lost on this. I think I should start at range and work backwards. I could really use help understanding how to break this down.
The Attempt at a Solution
I don't have Vi which is what I am solving for. I have time (t)=4/s. I know d=vt and to solve for v it would be v=d/t. I think the distance traveled would be 98+14=112/ft. so v=28ft/s. I think at this point I have d,t,v. This is where I am lost. Am I even right on the distance, and where to go from here. I do not understand this.