Sure, I'll break down the process of calculating the speed of the bus step by step for you.
1. Given Values:
- Distance covered by the bus: \(72 \text{ km}\)
- Time taken to cover that distance: \(2 \text{ hours}\)
2. Convert Distance to Meters:
To work with the standard SI unit for speed, we need to convert kilometers to meters. Recall that:
[tex]\[ 1 \text{ km} = 1000 \text{ meters} \][/tex]
Therefore, the distance in meters is:
[tex]\[ 72 \text{ km} \times 1000 \text{ meters/km} = 72000 \text{ meters} \][/tex]
3. Convert Time to Seconds:
Similarly, we need to convert hours to seconds because the standard SI unit for speed is meters per second (m/s). Recall that:
[tex]\[ 1 \text{ hour} = 3600 \text{ seconds} \][/tex]
Therefore, the time in seconds is:
[tex]\[ 2 \text{ hours} \times 3600 \text{ seconds/hour} = 7200 \text{ seconds} \][/tex]
4. Calculate the Speed:
Speed is defined as the distance traveled divided by the time taken to travel that distance. The formula for speed \( \text{v} \) is:
[tex]\[ \text{v} = \frac{\text{distance}}{\text{time}} \][/tex]
Plugging in our converted values:
[tex]\[ \text{speed} = \frac{72000 \text{ meters}}{7200 \text{ seconds}} = 10 \text{ m/s} \][/tex]
So, the speed of the bus is \(10 \text{ meters/second} \).
In summary:
- The distance traveled was \(72 \text{ km}\) which converts to \(72000 \text{ meters}\).
- The time taken was \(2 \text{ hours}\) which converts to \(7200 \text{ seconds}\).
- Therefore, the speed of the bus is [tex]\(10 \text{ m/s}\)[/tex].
