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.

You have two photos of a person walking. one shows the person at the corner of third and main streets, the other shows the person at the corner of tenth and main streets. there are lampposts at every corner in this town, and the first picture shows it to be 10: 32: 00 exactly. the second picture shows it to be 10: 49: 30. you know three facts: (1) all of the clocks are synchronized; (2) there are exactly 12 equal-sized blocks per kilometer in this town; and (3) the streets that cross main in this area are numbered consecutively, with no interruptions. what is the person’s average speed in kilometers per hour?