Question

What must be your average speed in order to travel 340.0 km in 5.15 hours? Please convert the final answer to SI units. Please show your work.

Answer 1

To travel 340.0 km in 5.15 hours, the average speed should be 66.02 km/h, which is approximately 18.34 m/s after converting to SI units.

Step-by-step explanation:

To calculate the average speed, you should divide the total distance traveled by the total time taken. Using the values provided:

1. Substitute the given values for distance and time into the formula for average speed.
   Average Speed = Total Distance ÷ Total Time
2. Average Speed = 340.0 km ÷ 5.15 hours = 66.02 km/h
3. To convert this into SI units, which are meters per second (m/s), use the conversion factors: 1 hour = 3600 seconds and 1 km = 1000 meters.
   Average Speed in m/s = (66.02 km/h) × (1000 m/km) ÷ (3600 s/h) ≈ 18.34 m/s

The final average speed is therefore approximately 18.34 m/s. It is important to also check that the significant figures are consistent, and the answer seems reasonable by considering that the original distance of 340.0 km is roughly 66 times the 5.15 hours, which confirms our calculation.