Question

1. You are on a flat football field, 23.0 m away from a very high wall. You throw a raw egg towards the wall, at an initial speed of 22.2 m/s and an angle of 35.5° above horizontal Assuming frictionless free fall: Does the egg hit the wall, or does it hit the ground first? If it hits the ground first, then calculate how far from the wall the egg hits the ground. If it hits the wall, then calculate how high up the wall the egg hits. (b) The egg hits (the wall or the ground) with a certain velocity, v. Find the magnitude and direction (angle) of v. (a)

Answer 1

Find the height at which the egg hits the wall and the final velocity using equations of kinematics for vertical and horizontal direction separately as shown below

a) Range R = Vozsin 2e 11 (22.2ml)? sin(2x35-50) 9.8m/s² g = 47.55m > 23m So, it hits the wall. Now, Ax Next 23m 23m = (22.2m/s) t t 1.036s. » time to reach wall T Ay = C voyt - 1 / 2gt² (Vo sino t - 22.2m/s) sin(35.5)(1-0369) - 349:8 m/s2)(1036) &gte 2 8.1m high 5) Voz C Vfc 22:2005 35.5 = 18.1 m/s Vfy = Vosino-gt 22.2 Sin 35.5 -2.8m/52)(1-036) c 2.74 m/s Vf . Sufnet tu - J (18:1) ²+ (2-74² = 18.31 m/s tano = 2.74 18. 0 os 8.61 above horizontal