6. .. In Denver, children bring their old jack-o-lanterns to the top of a tower and compete for accuracy in hitting a target on the ground (Figure 3 ). Suppose that the tower is 9.0 m high and that the bulls eye is a horizontal distance of 3.5 m from the launch point. If the pumpkin is thrown horizontally, what is the launch speed needed to hit the bulls-eye? 9.0 m 3.5 m A FIGURE 3 7 . . . On a hot summer day, a young girl swings on a rope about the local swimming hole (Figure 4 ). When she lets go the rope her initial velocity is 2.25 m/s at an angle of 35.0 above the horizontal. If she is in flight for 1.60 s, how high above the water was she when she let go of the rope? 35.0 A FIGURE 4