If a soldier can march 4 km in 40 minutes, what is his speed in m/s? (2020)
Practice Questions
Q1
If a soldier can march 4 km in 40 minutes, what is his speed in m/s? (2020)
1.5 m/s
2.0 m/s
2.5 m/s
3.0 m/s
Questions & Step-by-Step Solutions
If a soldier can march 4 km in 40 minutes, what is his speed in m/s? (2020)
Step 1: Identify the distance the soldier marches, which is 4 km.
Step 2: Identify the time it takes to march that distance, which is 40 minutes.
Step 3: Convert the time from minutes to hours. Since there are 60 minutes in an hour, 40 minutes is equal to 40/60 hours, which simplifies to 2/3 hours.
Step 4: Use the formula for speed, which is Speed = Distance / Time. Plug in the values: Speed = 4 km / (2/3) h.
Step 5: To divide by a fraction, multiply by its reciprocal. So, Speed = 4 km * (3/2) = 6 km/h.
Step 6: Convert the speed from km/h to m/s. Since 1 km = 1000 meters and 1 hour = 3600 seconds, we can convert 6 km/h to m/s by using the conversion factor: 6 km/h * (1000 m / 1 km) * (1 h / 3600 s).
Step 7: Calculate the conversion: 6 * 1000 / 3600 = 1.67 m/s (approximately 2.0 m/s).
Speed Calculation – Understanding how to calculate speed using the formula Speed = Distance / Time.
Unit Conversion – Converting kilometers to meters and hours to seconds to ensure consistent units.