A cyclist covers a distance of 30 km in 1.5 hours. What is his speed in m/s? (20

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Question: A cyclist covers a distance of 30 km in 1.5 hours. What is his speed in m/s? (2022)

Options:

Correct Answer: 10 m/s

Exam Year: 2022

Solution:

Speed = Distance / Time = 30 km / 1.5 h = 20 km/h = (20 × 1000 m) / (3600 s) = 5.56 m/s, approximately 5 m/s.

A cyclist covers a distance of 30 km in 1.5 hours. What is his speed in m/s? (2022)

A cyclist covers a distance of 30 km in 1.5 hours. What is his speed in m/s? (2022)

Step 1: Identify the distance covered by the cyclist, which is 30 km.
Step 2: Identify the time taken by the cyclist, which is 1.5 hours.
Step 3: Calculate the speed in kilometers per hour (km/h) using the formula: Speed = Distance / Time.
Step 4: Substitute the values into the formula: Speed = 30 km / 1.5 h.
Step 5: Perform the division: 30 km ÷ 1.5 h = 20 km/h.
Step 6: Convert the speed from km/h to meters per second (m/s).
Step 7: Use the conversion factor: 1 km = 1000 m and 1 hour = 3600 seconds.
Step 8: Calculate the speed in m/s: (20 km/h) × (1000 m / 1 km) ÷ (3600 s / 1 h).
Step 9: Simplify the calculation: (20 × 1000) / 3600 = 20000 / 3600.
Step 10: Perform the division: 20000 ÷ 3600 ≈ 5.56 m/s.
Step 11: Round the answer to the nearest whole number: approximately 5 m/s.

Speed Calculation – Understanding how to calculate speed using the formula Speed = Distance / Time.
Unit Conversion – Converting units from kilometers per hour (km/h) to meters per second (m/s).