Question

In the annual battle of the dorms, students gather on the roofs of Jackson and Walton dorms to launch water balloons at each other with slingshots. The horizontal distance between the buildings is 40.0 m, and the heights of the Jackson and Walton buildings are, respectively, 14.0 m and 22.0 m. The first balloon launched by the Jackson team hits Walton dorm 2.10 s after launch, striking it halfway between the ground and the roof. Ignore air resistance. (a) Find the direction of the balloon's initial velocity. Give your answer as an angle (in degrees) measured above the horizontal. (b) A second balloon launched at the same angle hits the edge of Walton's roof. Find the initial speed of this second balloon.

Vo Н Jackson Walton

Answer 1

Ang Green that and hit 1 9m Jacken V2 emnl the hill 13 maam 117 yom. malton we know that S = Vottlat For horizontal motion 2- Vook + Lart Vocosoxt vertical motion Y=Voy 1)+Layt - Vonino) t - bgt' No sono = 1 g++ / - 1 No coro = 2 2 From () and (2) equations Vosino - 29th Vocare UE tamo - gt' + where yom у -3m += 2.10 ree Hano = 19,8X2.11 - 3 lexuo 40 tano - 0.465225 0-24,949-25°

for second launch Y - om we know that x=vo coro) xt t- x Vocoro tor Y. =(Vosinot - ļot Vorinox Vococo VoC020 Y=xtano - Qvo costo - - xgx(x 921 gan avocouro = x tano y . QVo costo xtano-Y₂ gar 2 Volcagno gay xetano-Y No = x 9/2 coo Jatano - Y₂ (918/2) cos(Q4.949) | yox tan@4.9499) – 8 Vo - 40 40 x0,67961 0.9066836 Vo = 29.982 m/s