To determine the speed at which the dog was running through the field, we need to calculate its speed using the given distance and time. Here’s a step-by-step solution:
1. Understand the given data:
- Distance covered by the dog: [tex]\( 23.7 \)[/tex] meters
- Time taken to cover this distance: [tex]\( 54 \)[/tex] seconds
2. Use the formula for speed:
Speed is calculated as the distance covered divided by the time taken. The formula is:
[tex]\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}}
\][/tex]
3. Plug in the given values into the formula:
[tex]\[
\text{Speed} = \frac{23.7 \text{ meters}}{54 \text{ seconds}}
\][/tex]
4. Perform the division:
[tex]\[
\text{Speed} = 0.4388888888888889 \text{ meters per second} (\text{m/s})
\][/tex]
5. Match the calculated speed to the given options:
- The options are:
- [tex]\( 2.28 \text{ m/s toward the road} \)[/tex]
- [tex]\( 0.44 \text{ m/s toward the road} \)[/tex]
- [tex]\( 2.28 \text{ m/s} \)[/tex]
- [tex]\( 0.44 \text{ m/s} \)[/tex]
6. Round the calculated speed to two decimal places:
[tex]\[
\text{Speed} \approx 0.44 \text{ m/s}
\][/tex]
7. Select the correct option:
The speed of the dog, when rounded to two decimal places, matches [tex]\( 0.44 \text{ m/s} \)[/tex].
Therefore, the dog was running at a speed of [tex]\( \mathbf{0.44 \text{ m/s}} \)[/tex] toward the road.
