Sure! Let's calculate the distance the jet will travel based on the given speeds and times.
The formula to calculate distance is:
[tex]\[ \text{Distance} = \text{Speed} \times \text{Time} \][/tex]
Given the speed of the jet is [tex]\(350 \, \text{m/s}\)[/tex]:
### a) In 30 seconds
[tex]\[ \text{Time} = 30 \, \text{seconds} \][/tex]
[tex]\[ \text{Distance} = 350 \, \text{m/s} \times 30 \, \text{seconds} \][/tex]
[tex]\[ \text{Distance} = 10,500 \, \text{meters} \][/tex]
So, the jet will travel 10,500 meters in 30 seconds.
### b) In 5 minutes
First, we need to convert minutes to seconds, since the speed is given in meters per second.
[tex]\[ \text{Time} = 5 \, \text{minutes} \][/tex]
[tex]\[ 5 \, \text{minutes} = 5 \times 60 \, \text{seconds} = 300 \, \text{seconds} \][/tex]
Now, calculate the distance:
[tex]\[ \text{Distance} = 350 \, \text{m/s} \times 300 \, \text{seconds} \][/tex]
[tex]\[ \text{Distance} = 105,000 \, \text{meters} \][/tex]
So, the jet will travel 105,000 meters in 5 minutes.
### c) In half an hour
First, we need to convert hours to seconds.
[tex]\[ \text{Time} = 0.5 \, \text{hours} \][/tex]
[tex]\[ 0.5 \, \text{hours} = 0.5 \times 60 \, \text{minutes} = 30 \, \text{minutes} \][/tex]
[tex]\[ 30 \, \text{minutes} = 30 \times 60 \, \text{seconds} = 1,800 \, \text{seconds} \][/tex]
Now, calculate the distance:
[tex]\[ \text{Distance} = 350 \, \text{m/s} \times 1,800 \, \text{seconds} \][/tex]
[tex]\[ \text{Distance} = 630,000 \, \text{meters} \][/tex]
So, the jet will travel 630,000 meters in half an hour.
To summarize:
- In 30 seconds, the jet will travel 10,500 meters.
- In 5 minutes, the jet will travel 105,000 meters.
- In half an hour, the jet will travel 630,000 meters.
