Question

A Southwest Airlines plane is traveling at 450. miles per hour from Tampa to St. Louis. What is the speed in meters per minute? 1 mile = 1609 meters, 1 hour = 60 minutes (Enter the numerical value without units. Make sure the answer is rounded properly to the correct number of sig figs.)

Answer 1

To convert the speed from miles per hour to meters per minute, divide the speed in miles per hour by 60 and then multiply by 1609 to get the speed in meters per minute.

Step-by-step explanation:

To convert the speed from miles per hour to meters per minute, we need to use the given conversion factors: 1 mile = 1609 meters and 1 hour = 60 minutes.

First, calculate the speed in miles per minute by dividing the speed in miles per hour by 60: 450 miles/hour / 60 minutes = 7.5 miles/minute.

Next, convert miles to meters by multiplying the speed in miles per minute by the conversion factor of 1609 meters per mile: 7.5 miles/minute * 1609 meters/mile = 12067.5 meters/minute.

Therefore, the speed in meters per minute is 12067.5.

To convert the speed of 450 miles per hour to meters per minute, use the given conversion factors:

First, convert miles to meters: 1 mile = 1609 meters.

Then, convert hours to minutes: 1 hour = 60 minutes.

Multiply the plane's speed by these conversion factors to calculate the speed in meters per minute:

450 miles/hour × 1609 meters/mile × 1 hour/60 minutes = 12045 meters/minute.

However, the question specifies to round to the correct number of significant figures. The original speed (450 miles per hour) has two significant figures, so the final answer should be rounded to two significant figures:

12000 meters per minute (rounded to two significant figures).