Answer Happy

Problem 1: (30 points) Two badminton players A and B are located on a court. Due to the game situation, player A is forced to hit the shuttlecock at a height h A with an angle a = 30°. He wants to return the shuttlecock in a way that player B has to hit it at a distance d and a height hp. Player A has also to ensure that the shutt- lecock leaves the racket with an initial velocity vo, so that it doesn't hit the gym ceiling. Therefore, with respect to the building of the gym, the maximum possible height is H. An open window causes an air stream which decelerates the shuttlecock in e-direction. This position-dependent influence can be expressed with respect to the given coordinate system by az() = -QwVx+rar - c with given constant parameters aw, r and c. To simplify the calculation, you can neglect the air resistance in y-direction. Gym ceiling bia 00 H y (a) Determine the velocity of the shuttlecock in y-direction as a function of time. (b) Determine the position of the shuttlecock in y-direction as a function of time. (c) Determine the maximal initial velocity of the shuttlecock vo so it doesn't hit the ceiling. (d) Determine the velocity of the shuttlecock in 2-direction as a function of the distance. (e) Determine the velocity in 2-direction when the shuttlecock reaches player B at point (d, hB).