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k0ka [10]
3 years ago
6

A hot air balloon leaves the ground and ascends at a rate of 6 feet per second for 3 minutes. Then it descends at a rate of 3 fe

et per second for 2 minutes. Finally, it ascends at a rate of 4 feet per second for 5 minutes. How far above the ground is the balloon now?
Mathematics
2 answers:
ASHA 777 [7]3 years ago
8 0
It is 1,920 feet above the ground
Alex Ar [27]3 years ago
4 0
Hello First,

State 1:
A hot air balloon leaves the ground and ascends at a rate of 6 feet per second for 3 minutes.
1 minute = 60 seconds
3 minutes = 180 seconds
If it's rate of is 6 feet per second
Last of 3 minutes, it will ascend (180 seconds x 6 feet) 1080 feet.seconds. That is we can write +1080 feet.seconds

State 2:
Then it descends at a rate of 3 feet per second for 2 minutes.
2 minutes = 120 seconds
If it's rate of is 3 feet per second
Last of 3 minutes, it will descent (120 seconds x 3 feet) 360 feet.seconds that is we can write -360 feet.seconds

State 3:
It ascends at a rate of 4 feet per second for 5 minutes.
5 minutes = 300 seconds
If it's rate of is 4 feet per second
Last of 5 minutes, it will ascent (300 seconds x 4 feet) 1200 feet.seconds that is we can write +1200 feet.seconds

Last State:
+1080 feet.seconds ascent (1)
-360 feet.seconds descent (2)
+1200 feet.seconds ascent (3)

Conclusion:

(+1080 feet.seconds) + (-360 feet.seconds) + (+1200 feet.seconds) = +1920 feet.seconds

Answer: +1920 feet.seconds
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