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A hot air balloon was rising at a rate of 525 feet per minute (ft/min). Use the following facts to convert this speed to meters per second (m/s). 1 inch (in.) = 2.54 cm 1 m = 100 cm 1 foot (ft) = 12 in 1 min = 60 sec Round your answer to the nearest tenth. Do not type the units in the space below.

Question

A hot air balloon was rising at a rate of 525 feet per minute (ft/min). Use the following facts to convert this speed to meters per second (m/s).

1 inch (in.) = 2.54 cm 1 m = 100 cm 1 foot (ft) = 12 in 1 min = 60 sec

Round your answer to the nearest tenth. Do not type the units in the space below.

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Solution

First, we need to convert feet to meters. We know that 1 foot is equal to 12 inches, and 1 inch is equal to 2.54 cm. So, we can convert 525 feet to inches and then to cm:

525 ft * 12 in/ft * 2.54 cm/in = 16002 cm

Then, we convert cm to meters:

16002 cm * 1 m/100 cm = 160.02 m

So, the balloon is rising at a rate of 160.02 meters per minute.

Next, we need to convert minutes to seconds. We know that 1 minute is equal to 60 seconds, so:

160.02 m/min * 1 min/60 sec = 2.67 m/s

So, the balloon is rising at a rate of approximately 2.7 m/s when rounded to the nearest tenth.

This problem has been solved

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