4.(10 points) Solve using integration. You are in a building, at a window. A tomato is thrown downward from the top of the building, passing your window two seconds after being thrown. At the moment when the tomato passes your window, the tomato has a speed of \(20\mathrm{~m}/\mathrm{sec}\). The tomato takes five seconds to hit the ground after being thrown. Find the height of your window above the ground. Assume gravity is the only force acting on the tomato, with the constant of acceleration being \(9.8\mathrm{~m}/\mathrm{sec}^{2}\).