Final answer:
To rank the objects based on their time in projectile motion, consider their initial height and speed. Objects with higher initial height spend more time in the air, while objects with higher initial speed spend less time in the air.
Step-by-step explanation:
To rank the objects based on the time that elapses while they are in projectile motion, we need to consider their initial height and initial speed. The time for projectile motion is determined by the vertical motion, so objects with a higher initial height will spend more time in the air. Additionally, objects with a higher initial speed will also spend less time in the air. Therefore, we can rank the objects from longest to shortest projectile time as follows:
- Object E (2m mass, launched from the top of the building with initial height 2H and initial speed y)
- Object A (m mass, launched from the middle of the building with initial height H and initial speed y)
- Object C (2m mass, launched from the middle of the building with initial height H and initial speed y)
- Object B (m mass, launched from the top of the building with initial height 2H and initial speed y)
- Object F (m mass, launched from the middle of the building with initial height H and initial speed 2y)
- Object H (m mass, launched from the top of the building with initial height 2H and initial speed 2y)
- Object G (2m mass, launched from the top of the building with initial height 2H and initial speed 2y)