Solution Coordinate System. As shown in Fig. 12-23bD, the origin of the coordinates is established at A. Between the end points of the path AB the three unknowns are the initial speed vA, range R, and the vertical component of velocity (UB)y Vertical Motion. Since the time of flight and the vertical distance between the ends of the path are known, we can determine vA -1 mvA sin 30 (1.5s) +(-9.81 m(1.5s) vA 13.38 m/s 13.4 m/s Ans Horizontal Motion. The range R can now be determined. R0+13.38 cos 30 m/s (1.5 s) 17.4 A In order to find the maximum height h we will consider the path AC, Fig. 12-23b D. Here the three unknowns are the time of flight tAc, the horizontal distance from A to C, and the height h. At the maximum heighty vA is known, we can determine h directly without considering tac USsing the following equation. 0, and since 0213.38 sin 30 m/s)+2(-9.81 m/) (h 1 m)- h= 3.28 rn Ans. NOTE: Show thet the bike will strike the ground at B with a velocity having components of 11.6 m/s+, (y 8.02 m/s