Kris is traveling at the 65 miles/hour. How many the kilometres per minute is this equal to? How many m/s? (1609 meters = 1 mallei kilometre = 1000 metersi 1 hour = 60 minutes 3600 seconds)
The correct answer and explanation is :
Answer:
- Kilometers per minute: ≈ 1.743 km/min
- Meters per second: ≈ 29.05 m/s
Explanation:
Kris is traveling at 65 miles per hour (mph), and we need to convert this speed into kilometers per minute (km/min) and meters per second (m/s).
Step 1: Convert to Kilometers per Minute
- We know 1 mile = 1.609 kilometers.
- Convert 65 miles per hour to kilometers per hour:
[
65 \times 1.609 = 104.585 \text{ km/h}
] - Since 1 hour = 60 minutes, we convert kilometers per hour to kilometers per minute:
[
\frac{104.585}{60} = 1.743 \text{ km/min}
]
Thus, Kris is traveling at approximately 1.743 kilometers per minute.
Step 2: Convert to Meters per Second
- We know 1 mile = 1609 meters, so convert 65 miles per hour to meters per hour:
[
65 \times 1609 = 104585 \text{ meters per hour}
] - Since 1 hour = 3600 seconds, we convert meters per hour to meters per second:
[
\frac{104585}{3600} = 29.05 \text{ m/s}
]
Thus, Kris is traveling at approximately 29.05 meters per second.
This means Kris is moving at a speed of nearly 1.74 km every minute or about 29 meters every second.
Here is a bar chart illustrating Kris’s speed in kilometers per minute (1.74 km/min) and meters per second (29.05 m/s). This visualization helps in understanding the difference in values when converting between different speed units.