The optimal angle of elevation θ that a​ shot-putter should aim for in order to throw the greatest distance depends on the velocity v of the throw and the initial height h of the shot. See Figure 1. One model for θ that achieves this greatest distance is  θ=arcsin(*all under squareroot* v2 / 2v2 +64h) Suppose a​ shot-putter can consistently release the steel ball with velocity v of 32 ft per sec from an initial height h of 6.0 ft. What​ angle, to the nearest​ degree, will maximize the​ distance?

A shooter observes a remotely controlled hot air balloon. When he detects it, the balloon is at an altitude of 800 m and is moving vertically upwards with a constant speed of 5 m/s. There is 1600 m distance on the horizontal. See figure 1. The bullets from the shooter's weapon have an initial speed of 400 m/s and a fixed angle e (Seno = 3/5 y Cos0 = 4/5). The shooter waits and shoots to destroy the balloon. Take g = 10 m/s?. Neglect the resistance of the air. a) What is the time of flight of the bullet before it hits the balloon? b) What is the altitude of the collision? c) How long does the shooter wait before shooting? 5m/s 1 400m/s 1600m

A friend of yours has a one story house with a pool in the backyard. Someone gets the bright idea to jump from the roof of the house into the deep end of the pool. a) If the roof of the house is 16 ft tall and the horizontal distance between the edge of the house and the pool is 10 ft, what would the jumper's minimum velocity need to be to land in the pool? b) Let's assume your friend can jump with an initial horizontal velocity of 15 ft/s. What is their total velocity when they hit the water? (hint: determine both the x and y velocity components, find the resultant)

What horizontal distance should the professor be at when the egg is released?