Answer:
The robot should hold the bucket at 137.6 m from the start of the field
Explanation:
Horizontal Motion
When an object is launched horizontally with a speed v from a height h, it describes a curved path exclusively ruled by gravity until it eventually hits the ground.
The range or maximum horizontal distance d traveled by the object can be calculated as follows:
[tex]\displaystyle d=v\cdot\sqrt{\frac {2h}{g}}[/tex]
Birdman flies horizontally at a speed of v=40 m/s and a height of h=58 m. He releases a turd above the start of the field. If the robot was exactly down Birdman, then it won't catch the turd with the bucket because it would land farther away by a distance equal to the range. Thus:
[tex]\displaystyle d=40\cdot\sqrt{\frac {2*58}{9.8}}[/tex]
[tex]\displaystyle d=40\cdot\sqrt{11.84}[/tex]
d = 137.6 m
The robot should hold the bucket at 137.6 m from the start of the field
