If a cyclist finished a 100 km leg of the Tour de France in 3 hours, what was the cyclist's average velocity?
A. 33 m/s
B. 3.3 km/h
C. 33 km/h
D. 100 km/h
Answer (2)
The average velocity of the cyclist who traveled 100 km in 3 hours is approximately 33 km/h. This was determined using the formula for average velocity, which is distance divided by time. Thus, the correct answer choice is C. 33 km/h.
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The cyclist traveled 100 km in 3 hours.
Average velocity is calculated as distance divided by time: v = t d .
Substituting the given values: v = 3 hours 100 km = 33.333... km/h .
The cyclist's average velocity is approximately 33 km/h .
Explanation
Understanding the Problem We are given that a cyclist traveled 100 km in 3 hours. We need to find the cyclist's average velocity.
Defining Average Velocity The average velocity is defined as the total distance traveled divided by the total time taken. In this case, the distance is 100 km and the time is 3 hours.
Applying the Formula To calculate the average velocity, we use the formula: v = t d , where v is the average velocity, d is the distance, and t is the time.
Calculating the Velocity Plugging in the given values, we have: v = 3 hours 100 km = 33.333... km/h . Rounding to the nearest whole number, we get 33 km/h.
Final Answer Therefore, the cyclist's average velocity is approximately 33 km/h.
Examples
Understanding average velocity is crucial in many real-life scenarios, such as planning a road trip. If you know the distance you need to travel and the time you have, you can calculate your average speed to ensure you arrive on time. For example, if you need to drive 300 km in 5 hours, your average speed should be v = 5 hours 300 km = 60 km/h . This helps you manage your travel efficiently.
