A ball is thrown over the head of a person who is standing a horizontal distancedfrom the point where the ball was thrown. The initial ball’s velocity is at an angleθwith respect to the ground and has a magnitudev0. As soon as the ball is thrown, the person runs with a time-varying acceleration whose component along the x-axis isgiven byBt, whereBis a positive constant. The person catches the ball at exactlythe same height it was thrown from. Assume that the air resistance is negligible andthat the gravitational acceleration is directed downward and has magnitudeg. Findthe constantB.