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 (Sen0 = 3/5 y Cos0 = 4/5). The shooter waits and shoots to destroy the balloon. Take g = 10 m/s². 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? %3D

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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
Transcribed Image Text: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
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