Final answer:
To calculate speed using the formula Speed = Distance ÷ Time, the correct answer for a vehicle that travels 125 km in 45 s is 2777.78 m/s after conversion, which can be rounded to 2778 m/s. The choices provided in the question seem to be incorrect, likely due to a typo in the distance. The right option would be 2.78 m/s if the distance was actually 125 meters.
Step-by-step explanation:
To calculate the speed of a vehicle traveling 125 km in 45 s, you can use the formula:
Speed = Distance ÷ Time
Firstly, convert the distance from kilometers to meters (since 1 km = 1000 m), and then convert time from seconds to hours if needed. However, since the question asks for the speed in meters per second (m/s) and kilometers per second (km/s), no time conversion is necessary. Therefore, the calculation would be:
Speed = 125,000 m ÷ 45 s = 2777.78 m/s approximately
So the correct answer is that the speed of the vehicle is 2777.78 m/s, which we can round to 2778 m/s for simplicity, making option c) 277.78 m/s incorrect because of a rounding error, and option d) 2778.78 km/s incorrect because it is not based on the metric conversion (it would be an unrealistically high speed).
The correct choice must be a) 2.78 m/s, assuming that there's been a typographical error and the actual question involved a vehicle traveling a distance of 125 m (not km) in 45 s, which would mathematically lead to this result.