Question

An archer fires an arrow towards the wall of a castle. The arrow is fired at 45° from horizontal at a velocity of 22ms^-1. If the wall is 40m away and stands 7m tall, calculate whether the arrow will drop inside the castle walls. a) Calculate the maximum height of the arrow b) Calculate the maximum range of the arrow c) Calculate the vertical height of the arrow as it reaches the wall d) Describe the journey of the arrow and whether or not, it was successful

Answer 1

d=45° v = 22 mils Given, l = 40m ho=7m a) Let to be time point, when the arrow reaches the maximum height ugo us sind - gt, so, t = usina ha byte - e uz sina vision - 1 (single up on ho (22)? (sin 450)? x 12.3m 2x9.8 h = 12.3 m o Let to be time point, when the arrow reaches the maximum range e = use ty = 0; cos & 2*, = c; cosa e Uygina = 144 sin de Te = 122 12 sin 90° - 49.4 m) 9,8 c) Let tz be the time point, when arrow reaches the wall. b = Vox tz H= Voy tz - gt esina lo glo = lotand u lasa 24² Costa 2 autosta H = 40x1 - 9.8 x (10) - 7.6 m 2X122²*1 H = 706m) d) H >ho the arrow will be under the wall.