Answer :
To solve the problem of finding the altitude of an F-15 jet after climbing for 1 minute at an average rate of 500 feet per second, we need to follow these steps:
1. Identify the climb rate: The F-15 climbs at a rate of 500 feet per second.
2. Convert time from minutes to seconds: Since the climb rate is given in feet per second, we need to convert the time from minutes to seconds because there are 60 seconds in a minute.
[tex]\[
\text{Time in seconds} = 1 \, \text{minute} \times 60 \, \text{seconds per minute} = 60 \, \text{seconds}
\][/tex]
3. Calculate the altitude: Multiply the climb rate by the time in seconds to find the altitude.
[tex]\[
\text{Altitude} = \text{Climb rate} \times \text{Time in seconds} = 500 \, \text{feet/second} \times 60 \, \text{seconds} = 30,000 \, \text{feet}
\][/tex]
Thus, the altitude of the F-15 jet after 1 minute is 30,000 feet.
1. Identify the climb rate: The F-15 climbs at a rate of 500 feet per second.
2. Convert time from minutes to seconds: Since the climb rate is given in feet per second, we need to convert the time from minutes to seconds because there are 60 seconds in a minute.
[tex]\[
\text{Time in seconds} = 1 \, \text{minute} \times 60 \, \text{seconds per minute} = 60 \, \text{seconds}
\][/tex]
3. Calculate the altitude: Multiply the climb rate by the time in seconds to find the altitude.
[tex]\[
\text{Altitude} = \text{Climb rate} \times \text{Time in seconds} = 500 \, \text{feet/second} \times 60 \, \text{seconds} = 30,000 \, \text{feet}
\][/tex]
Thus, the altitude of the F-15 jet after 1 minute is 30,000 feet.