Answer :
Answer:
Explanation:
Sure, let's calculate the cyclist's speed in different units step by step.
### 1. Speed in kilometers per hour (km/h)
First, we need to convert the distance covered and the time taken into consistent units. The cyclist covers a distance of 6 km in 10 minutes. To find the speed in kilometers per hour, we need to convert the time from minutes to hours.
\[
\text{Time in hours} = \frac{10 \text{ minutes}}{60 \text{ minutes/hour}} = \frac{10}{60} \text{ hours} = \frac{1}{6} \text{ hours}
\]
Now we calculate the speed:
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{6 \text{ km}}{\frac{1}{6} \text{ hours}} = 6 \times 6 \text{ km/h} = 36 \text{ km/h}
\]
### 2. Speed in meters per second (m/s)
Next, we need to convert the distance from kilometers to meters and the time from minutes to seconds.
- 1 kilometer = 1000 meters
- 10 minutes = 10 \times 60 = 600 seconds
So, the distance covered in meters is:
\[
6 \text{ km} = 6 \times 1000 \text{ meters} = 6000 \text{ meters}
\]
Now we calculate the speed in meters per second:
\[
\text{Speed} = \frac{6000 \text{ meters}}{600 \text{ seconds}} = 10 \text{ m/s}
\]
### 3. Speed in centimeters per second (cm/s)
Finally, we need to convert the speed from meters per second to centimeters per second.
- 1 meter = 100 centimeters
So, the speed in centimeters per second is:
\[
10 \text{ m/s} = 10 \times 100 \text{ cm/s} = 1000 \text{ cm/s}
\]
### Summary
The cyclist's speed is:
1. \(36\) km/h
2. \(10\) m/s
3. \(1000\) cm/s